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Bartleby Sitemap - Textbook Solutions

All Textbook Solutions for College Algebra

For the following exercises, describe how the formula is a transformation of a toolkit function. Then sketch a graph of the transformation. 70. g(x)=5(x+3)22 For the following exercises, describe how the formula is a transformation of a toolkit function. Then sketch a graph of the transformation. h(x)=2x4+3 For the following exercises, describe how the formula is a transformation of a toolkit function. Then sketch a graph of the transformation. 72. k(x)=3x1 For the following exercises, describe how the formula is a transformation of a toolkit function. Then sketch a graph of the transformation. m(x)=12x3 For the following exercises, describe how the formula is a transformation of a toolkit function. Then sketch a graph of the transformation. n(x)=13x2 For the following exercises, describe how the formula is a transformation of a toolkit function. Then sketch a graph of the transformation. 75. p(x)=(13x)33 the following exercises, describe how the formula is a transformation of a toolkit function. Then sketch a graph of the transformation. q(x)=(14x)3+1 For the following exercises, describe how the formula is a transformation of a toolkit function. Then sketch a graph of the transformation. a(x)=x+4 For the following exercises, use the graph in Figure 32 to sketch the given transformations. 78. g(x)=f(x)2 sFor the following exercises, use the graph in Figure 32 to sketch the given transformations. g(x)=f(x)For the following exercises, use the graph in Figure 32 to sketch the given transformations. g(x)=f(x+1)For the following exercises, use the graph in Figure 32 to sketch the given transformations. g(x)=f(x2)Students who score within 20 points of 80 will pass a test. Write this as a distance from 80 using absolute value notation Write the equation for the absolute value function that is horizontally shifted left 2 units, is vertically flipped, and vertically shifted up 3 units.For the function f(x)=|2x1|-3 , find the values of x such that f(x)=0 .How do you solve an absolute value equation?How can you tell whether an absolute value function has two x-intercepts without graphing the function?When solving an absolute value function, the isolated absolute value term is equal to a negative number. What does that tell you about the graph of the absolute value function?How can you use the graph of an absolute value function to determine the x- values for which the function values are negative?Describe all numbers x that are at a distance of 4 from the number 8. Express this using absolute value notation.Describe all numbers x that are at a distance of 12 from the number - 4. Express this using absolute value notation.Describe the situation in which the distance that point x is from 10 is at least 15 units, Express this using absolute value notation.Find all function values f(x) such that the distance from f(x) to the value 8 is less than 0.03 units. Express this using absolute value notation.For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. f(x)=4x3+4 For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. 10. f(x)=3x21 For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. 11. f(x)=2x+1+6 For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. 12. f(x)=5x+2+15 For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. 13. f(x)=2x16 For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. 14. f(x)=2x+113 For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. 15. f(x)=x9+16 For the following exercises, graph the absolute value function. Plot at least five points by hand for each graph. y=x1 For the following exercises, graph the absolute value function. Plot at least five points by hand for each graph. y=x+1 For the following exercises, graph the absolute value function. Plot at least five points by hand for each graph. y=x+1 For the following exercises, graph the given functions by hand. y=x2 For the following exercises, graph the given functions by hand. y=x For the following exercises, graph the given functions by hand. y=x2 For the following exercises, graph the given functions by hand. y=x32 For the following exercises, graph the given functions by hand. f(x)=x12 For the following exercises, graph the given functions by hand. f(x)=x+3+4 For the following exercises, graph the given functions by hand. f(x)=2x+3+1 For the following exercises, graph the given functions by hand. f(x)=3x2+3 For the following exercises, graph the given functions by hand. f(x)=2x43 For the following exercises, graph the given functions by hand. f(x)=3x+9+2 For the following exercises, graph the given functions by hand. 29. f(x)=x13 For the following exercises, graph the given functions by hand. 30. f(x)=x+43 For the following exercises, graph the given functions by hand. 31. f(x)=12x+43 Use a graphing utility to graph f(x)=10|x-|2 on the viewing window [0,4] . Identify the corresponding range. Show the graph.Use a graphing utility to graph f(x)=100|x|+100 on the viewing window [5,5] . Identify the corresponding range. Show the graph.For the following exercises, graph each function using a graphing utility. Specify the viewing window. 34. f(x)=0.10.1(0.2x)+0.3 For the following exercises, graph each function using a graphing utility. Specify the viewing window. 35. f(x)=4109|x(5109)|+2109 For the following exercises, solve the inequality. 36. If possible, find all values of a such that there are no x-intercepts for f(x)=2x+1+a .For the following exercises, solve the inequality. 37. If possible, find all values of a such that there are no y-interceptsfor f(x)=2x+1+a.Cities A and B are on the same east-west line. Assume that city A is located at the origin. If the distance from city A to city B is at least 100 miles and x represents the distance from city B to city A, express this using absolute value notation.The true proportion p of people who give a favorable rating to Congress is 8% with a margin of error of 1.5%. Describe this statement using an absolute value equation.Students who score within 18 points of the number 82 will pass a particular test. Write this statement using absolute value notation and use the variable x for the score.A machinist must produce a bearing that is within 0.01 inches of the correct diameter of 5.0 inches, Using x as the diameter of the bearing, write this statement using absolute value notation.The tolerance for a ball bearing is 0.01. If the true diameter of the bearing is to be 2.0 inches and the measured value of the diameter is x inches, express the tolerance using absolute value notation.Given that h1(6)=2 , what are the corresponding input and output values of the original function h?If f(x)=x34 and g(x)=x43 , is g=f1?If f(x)=(x1)3 and g(x)=x3+1 , is g=f1 ?The domain of function f is (1,) and the range of function f is (,2)Find the domain and range of the inverse function.Using Table 4, find and interpret a. f(60) , and b. f1(60) .Using the graph in Figure 6, a. find g1(1) , and b. estimate g1(4) .Solve for x in terms of y given y=13(x5)What is the inverse of the function f(x)=2x ? State the domains of both the function and the inverse function.Draw graphs of the functions fandf1 from Example 8.Describe why the horizontal line test is an effective way to determine whether a function is one-to-one?Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?Can a function be its own inverse? Explain.Are one-to-one functions either always increasing or always decreasing? Why or why not?How do you find the inverse of a function algebraically?Show that the function fx)=ax is its own inverse for all real numbers a.For the following exercises, find f1(x) for each function. 7. f(x)=x+3 For the following exercises, find f1(x) for each function. 8. f(x)=x+5 For the following exercises, find f1(x) for each function. 9. f(x)=2x For the following exercises, find f1(x) for each function. 10. f(x)=3x For the following exercises, find f1(x) for each function 11. f(x)=xx+2 For the following exercises, find f1(x) for each function. 12. f(x)=2x+35x+4 For the following exercises, find a domain on which each function f is one-to-one and non-decreasing. Write the domain in interval notation. Then find the inverse off restricted to that domain. 13. f(x)=(x+7)2 For the following exercises, find a domain on which each function f is one-to-one and non-decreasing. Write the domain in interval notation. Then find the inverse off restricted to that domain. f(x)=(x6)2 For the following exercises, find a domain on which each function f is one-to-one and non-decreasing. Write the domain in interval notation. Then find the inverse off restricted to that domain. f(x)=x25 For the following exercises, find a domain on which each functionfis one-to-one and non-decreasing. Write the domain in interval notation. Then find the inverse off restricted to that domain. 16. Given f(x)=x2+x and g(x)=2x1x : a. Find f(g(x))andg(f(x)) . b. What does the answer tell us about the relationship between f(x)andg(x) ?For the following exercises, use function composition to verify that f(x) and g(x) are inverse functions. 17. f(x)=x13 and g(x)=x3+1 For the following exercises, use function composition to verify that f(x) and g(x) are inverse functions. 18. f(x)=3x+5 and g(x)=x53 For the following exercises, use a graphing utility to determine whether each function is one-to-one 19. f(x)=x For the following exercises, use a graphing utility to determine whether each function is one-to-one f(x)=3x+13 For the following exercises, use a graphing utility to determine whether each function is one-to-one f(x)=5x+1 For the following exercises, use a graphing utility to determine whether each function is one-to-one f(x)=x327 For the following exercises, determine whether the graph represents a one-to-one function For the following exercises, determine whether the graph represents a one-to-one function For the following exercises, use the graph of f shown in Figure 11. Find f(0).For the following exercises, use the graph offshown in Figure 11. 26. Solve f(x)=0 .For the following exercises, use the graph of f shown in Figure 11. 27. Find f1(0) .For the following exercises, use the graph of f shown in Figure 11. 28. Solve f1(x)=0 .For the following exercises, use the graph of the one-to-one function shown in Figure 12. 29. Sketch the graph of f1.For the following exercises, use the graph of the one-to-one function shown in Figure 12. 30. Find f(6)andf1(2) .For the following exercises, use the graph of the one-to-one function shown in Figure 12. If the complete graph of f is shown, find the domain of f.For the following exercises, use the graph of the one-to-one function shown in Figure 12. If the complete graph of f is shown, find the rang of f.For the following exercises, evaluate or solve, assuming that the functionfis one-to-one. 33. If f(6)=7,findf1(7) .For the following exercises, evaluate or solve, assuming that the functionfis one-to-one. 34. If f(3)=2,findf1(2) .For the following exercises, evaluate or solve, assuming that the function f is one-to-one. If f1(4)=8 , find f(8) .For the following exercises, evaluate or solve, assuming that the function f is one-to-one. If f1(2)=1 , find f(1) .For the following exercises, use the values listed in Table 6 to evaluate or solve. 37.Find f(1) .For the following exercises, use the values listed in Table 6 to evaluate or solve. 38. Solve f(x)=3 .For the following exercises, use the values listed in Table 6 to evaluate or solve. 39.Find f1(0) .For the following exercises, use the values listed in Table 6 to evaluate or solve. 40. Solve f1(x)=7 .Use the tabular representation of f in Table 7 to create a table for f1(x) .For the following exercises, find the inverse function. Then, graph the function and its inverse f(x)=3x2 For the following exercises, find the inverse function. Then, graph the function and its inverse f(x)=x31 For the following exercises, find the inverse function. Then, graph the function and its inverse Find the inverse function of f(x)=1x1 . Use a graphing utility to find its domain and range. Write the domain and range in interval notation.To convert from x degrees Celsius toy degrees Fahrenheit, we use the formula f(x)=95x+32 . Find the inverse function, if it exists, and explain its meaning.The circumference C of a circle is a function of its radius given by C(r)=2r. Express the radius of a circle as a function of its circumference. Call this function r(C) , Find r(36) and interpret its meaning,A car travels at a constant speed of 50 miles per hour. The distance the car travels in miles is a function of time, t, in hours given by dt)=50t . Find the inverse function by expressing the time of travel in terms of the distance traveled. Call this function t(d) . Find t(180) and interpret its meaning.For the following exercises, determine whether the relation is a function. {(a,b),(c,d),(e,d)}For the following exercises, determine whether the relation is a function. 2. {(5,2),(6,1),(6,2),(4,8)}For the following exercises, determine whether the relation is a function. y2+4=x , for x the independent variable and y the dependent variable For the following exercises, determine whether the relation is a function. 4. Is the graph in Figure 1 a function?For the following exercises, evaluate the function at the indicated values f(3);f(2);f(a);f(a);f(a+h) . 5. f(x)=2x2+3x For the following exercises, evaluate the function at the indicated values f(3);f(2);f(a);f(a);f(a+h) 6. f(x)=2|3x1|For the following exercises, determine whether each functionsare one-to-one. 7. f(x)=3x+5 For the following exercises, determine whether each functions are one-to-one. f(x)=x3 For the following exercises, use the vertical line test to determine if the relation whose graph is provided is a function For the following exercises, use the vertical line test to determine if the relation whose graph is provided is a function.For the following exercises, use the vertical line test to determine if the relation whose graph is provided is a function.For the following exercises, graph the functions. 12. f(x)=|x+1|For the following exercises, graph the functions. f(x)=x22 For the following exercises, use Figure 2 to approximate the values. 14. f(2)For the following exercises, use Figure 2 to approximate the values. 15. f(2)For the following exercises, use Figure 2 to approximate the values 16. If f(x)=2 , then solve for x.For the following exercises, use Figure 2 to approximate the values. 17. If f(x)=1 , then solve for x.For the following exercises, use the function h(t)=16t2+80t to find the values. 18. h(2)h(1)21 For the following exercises, use the function h(t)=16t2+80t to find the values. 19. h(a)h(1)a1 For the following exercises, find the domain of each function, expressing answers using interval notation.For the following exercises, find the domain of each function, expressing answers using interval notation.For the following exercises, find the domain of each function, expressing answers using interval notation.For the following exercises, find the domain of each function, expressing answers using interval notation. Graph this piecewise function:For the following exercises, find the average rate of change of the functions from x=1tox=2 . 24. f(x)=4x3 For the following exercises, find the average rate of change of the functions from x=1tox=2 . 25. f(x)=10x2+x For the following exercises, find the average rate of change of the functions from x=1tox=2 . 26. f(x)=2x2 For the following exercises, use the graphs to determine the intervals on which the functions are increasing, decreasing, or constant.For the following exercises, use the graphs to determine the intervals on which the functions are increasing, decreasing, or constant.For the following exercises, use the graphs to determine the intervals on which the functions are increasing, decreasing, or constant.For the following exercises, use the graphs to determine the intervals on which the functions are increasing, decreasing, or constant. 30. Find the local minimum of the function graphed in Exercise 27.For the following exercises, use the graphs to determine the intervals on which the functions are increasing, decreasing, or constant. 31. Find the local extrema for the function graphed in Exercise 28.For the graph in Figure 3, the domain of the function is [3,3] . The range is [10,10] . Find the absolute minimum of the function on this interval.Find the absolute maximum of the function graphed in Figure 3.For the following exercises, find (fg)(x) and (gf)(x) for each pair of functions. 34. f(x)=4x,g(x)=4x For the following exercises, find (fg)(x) and (gf)(x) for each pair of functions. 35. f(x)=3x+2,g(x)=56x For the following exercises, find (fg)(x) and (gf)(x) for each pair of functions. 36. f(x)=x2+2x,g(x)=5x+1 For the following exercises, find (fg)(x) and (gf)(x) for each pair of functions. 37. f(x)=x+2,g(x)=1x For the following exercises, find (fg)(x) and (gf)(x) for each pair of functions. 38. f(x)=x+32,g(x)=1x For the following exercises, find (fg) and the domain for (fg)(x) for each pair of functions. 39. f(x)=x+1x+4,g(x)=1x For the following exercises, find (fg) and the domain for (fg)(x) for each pair of functions. 40. f(x)=1x+3,g(x)=1x9 For the following exercises, find (fg) and the domain for (fg)(x) for each pair of functions. 41. f(x)=1x,g(x)=x For the following exercises, find (fg) and the domain for (fg)(x) for each pair of functions. 42. f(x)=1x21,g(x)=x+1 For the following exercises, express each function H as a composition of two functions f and gwhere H(x)=(fg)(x) . 43. H(x)=2x13x+4 For the following exercises, express each function H as a composition of two functions f and gwhere H(x)=(fg)(x) . 44. H(x)=1(3x24)3 For the following exercises, sketch a graph of the given function. 45. f(x)=(x3)2 For the following exercises, sketch a graph of the given function. 46. f(x)=(x+4)3 For the following exercises, sketch a graph of the given function. 47. f(x)=x+5 For the following exercises, sketch a graph of the given function. 48. f(x)=x3 For the following exercises, sketch a graph of the given function. 49. f(x)=x3 For the following exercises, sketch a graph of the given function. 50. f(x)=5x4 For the following exercises, sketch a graph of the given function. 51. f(x)=4[x26]For the following exercises, sketch a graph of the given function. 52. f(x)=(x+2)21 For the following exercises, sketch the graph of the function g if the graph of the functionfis shown in Figure 4. 53. g(x)=f(x1)For the following exercises, sketch the graph of the function g if the graph of the functionfis shown in Figure 4. 54. g(x)=3f(x)For the following exercises, write the equation for the standard function represented by each of the graphs below.For the following exercises, write the equation for the standard function represented by each of the graphs below.For the following exercises, determine whether each function below is even, odd, or neither.For the following exercises, determine whether each function below is even, odd, or neither.For the following exercises, determine whether each function below is even, odd, or neither.For the following exercises, analyze the graph and determine whether the graphed function is even, odd, or neither.For the following exercises, analyze the graph and determine whether the graphed function is even, odd, or neither.For the following exercises, analyze the graph and determine whether the graphed function is even, odd, or neither.For the following exercises, write ail equation tor the transformation of f(x)=|x| .For the following exercises, write ail equation tor the transformation of f(x)=|x| .For the following exercises, write ail equation tor the transformation of f(x)=|x| .For the following exercises, graph the absolute value function.For the following exercises, graph the absolute value function.For the following exercises, graph the absolute value function.For the following exercises, find f1(x) for each function. 69. f(x)=9+10x For the following exercises, find f1(x) for each function. 70. f(x)=xx+2 For the following exercise, find a domain on which the function f is one-to-one and non-decreasing. Write the domain in interval notation. Then find the inverse of f restricted to that domain. 71. f(x)=x2+1 For the following exercise, find a domain on which the function f is one-to-one and non-decreasing. Write the domain in interval notation. Then find the inverse of f restricted to that domain. 72. Given f(x)=x35 and g(x)=x+53 : a. Find f(g(x)) and g(f(x)) . b. What does the answer tell us about the relationship between f(x)andg(x) ?For the following exercises, use a graphing utility to determine whether each function is one-to-one.For the following exercises, use a graphing utility to determine whether each function is one-to-one. 74. f(x)=3x2+x For the following exercises, use a graphing utility to determine whether each function is one-to-one. 75. If f(5)=2, find f1(2) .For the following exercises, use a graphing utility to determine whether each function is one-to-one. 76. If f(1)=4 , find f1(4) .For the following exercises, determine whether each of the following relation is a function. y=2x+8 For the following exercises, determine whether each of the following relation is a function. 2. {(2,1),(3,2),(1,1),(0,2)}For the following exercises, evaluate the function f(x)=3x2+2x at the given input. 3. f(2)For the following exercises, evaluate the function f(x)=3x2+2x at the given input. 4. f(a)For the following exercises, evaluate the function f(x)=3x2+2x at the given input. 5. Show that the function f(x)=-2(x1)2+3 is not one-to-one.For the following exercises, evaluate the function f(x)=3x2+2x at the given input. Write the domain of the function f(x)=3x in interval notation.For the following exercises, evaluate the function f(x)=3x2+2x at the given input. 7. Given f(x)=2x25x,findf(a+1)f(1) .For the following exercises, evaluate the function f(x)=3x2+2x at the given input. 8. Graph the function f(x)={x+1if2x3xifx3 For the following exercises, evaluate the function f(x)=3x2+2x at the given input. 9. Find the average rate of change of the function f(x)=32x2+x by finding f(b)f(a)ba .For the following exercises, use the function f(x)=32x2+x and g(x)=x to find the composite functions. 10. (gf)(x)For the following exercises, use the function and to find the composite functions. 11. m:math display='block'>f(x)=32x2+x For the following exercises, use the function f(x)=32x2+x and g(x)=x to find the composite functions. 12. Express H(x)=5x23x3 as a composition of two functions, f and gwhere (fg)(x)=H(x) .For the following exercises, graph the functions by translating, stretching, and/or compressing a toolkit function. f(x)=x+61 For the following exercises, graph the functions by translating, stretching, and/or compressing a toolkit function. f(x)=1x+21 For the following exercises, determine whether the functions are even, odd, or neither. 15. f(x)=5x2+9x6 For the following exercises, determine whether the functions are even, odd, or neither. 16. f(x)=5x3+9x5 For the following exercises, determine whether the functions are even, odd, or neither. 17. f(x)=1x For the following exercises, determine whether the functions are even, odd, or neither. 18. Graph the absolute value function f(x)=2x1+3 .For the following exercises, find the inverse of the function For the following exercises, find the inverse of the function 20. f(x)=4x+7 For the following exercises, use the graph of g shown in Figure 1. On what intervals is the function increasing?For the following exercises, use the graph of g shown in Figure 1. On what intervals is the function decreasing?For the following exercises, use the graph of g shown in Figure 1. 23. Approximate the local minimum of the function. Express the answer as an ordered pair.For the following exercises, use the graph of g shown in Figure 1. 24. Approximate the local maximum of the function. Express the answer as an ordered pair.For the following exercises, use the graph of the piecewise function shown in Figure 2. 25. Find f(2) .For the following exercises, use the graph of the piecewise function shown in Figure 2. 26. Find f(2) .For the following exercises, use the graph of the piecewise function shown in Figure 2. 27. Write an equation for the piecewise function.For the following exercises, use the values listed Table 1. 28. Find F(6) .For the following exercises, use the values listed in Table 1. 29. Solve the equation F(x)=5 .For the following exercises, use the values listed in Table 1. 30. Is the graph increasing or decreasing on its domain?For the following exercises, use the values listed in Table 1. 31. Is the function represented by the graph one-to-one?For the following exercises, use the values listed in Table 1. 32. Find F1(15) .For the following exercises, use the values listed in Table 1 33. Given f(x)=2x+11 , find f1(x) .If f(x) is a linear function, and (2,3) and (0,4) are points on the line, find the slope. Is this functionincreasing ordecreasing?The population of a small town increased from 1,442 to 1,868 between 2009 and 2012. Find thechange of populationper year if we assume the change was constant from 2009 to 2012.If f(x) is a linear function, with f(2)=11, and f(4)=25, find an equation for the function inslope-interceptform.A new plant food was introduced to a young tree to test its effect on the height of the tree. Table 2shows the heightof the tree, in feet, x months since the measurements began. Write a linearfunction, H(x), where x is the number ofmonths since the start of the experiment.Graph f(x)=34x+6 by plotting points.Find a point on the graph we drew in Example 12 that has a negative x-value.Graph f(x)=4+2x, using transformations.Find the x-intercept of f(x)=14x4.Given the function h(x)=2x4, write an equation for the line passing through (0,0) that is a. parallel to h(x) b. perpendicular to h(x)A line passes through the points, (2,15) and (2,3). Find the equation of a perpendicular line that passesthrough the point, (6,4).Terry is skiing down a steep hill. Terry’s elevation, E(t),in feet after tseconds is given by E(t)=300070t. Write a complete sentence describing Terry’s startingelevation and how it is changing over time.Jessica is walking home from a friend’s house.After 2 minutes she is 1.4 miles from home. Twelve minutes after leaving, she is 0.9 milesfrom home. What is her rate in miles per hour?A boat is 100 miles away from the marina, sailingdirectly toward it at 10 miles per hour. Write anequation for the distance of the boat from themarina after thours.If the graphs of two linear functions areperpendicular, describe the relationship between the slopes and the y-intercepts.Ifa horizontal line has the equation f(x)=a and avertical line has the equation x=a , what is the pointof intersection? Explain why what you found is thepoint of intersection.For the following exercises, determine whether the equation of the curve can be written as a linearfunction. 6. y=14x+6 For the following exercises, determine whether the equation of the curve can be written as a linear function. 7. y=3x5 For the following exercises, determine whether the equation of the curve can be written as a linear function. 8. y=3x22 For the following exercises, determine whether the equation of the curve can be written as a linear function. 9. 3x+5y=15 For the following exercises, determine whether the equation of the curve can be written as a linear function. 10. 3x2+5y=15 For the following exercises, determine whether the equation of the curve can be written as a linear function. 11. 3x+5y2=15 For the following exercises, determine whether the equation of the curve can be written as a linear function. 12. 2x2+3y2=6 For the following exercises, determine whether the equation of the curve can be written as a linear function. 13. x35=2y For the following exercises, determine whether each function is increasing or decreasing. 14. f(x)=4x+3 For the following exercises, determine whether each function is increasing or decreasing. 15. g(x)=5x+6 For the following exercises, determine whether each function is increasing or decreasing. 16. a(x)=52x For the following exercises, determine whether each function is increasing or decreasing. 17. b(x)=83x For the following exercises, determine whether each function is increasing or decreasing. 18. h(x)=2x+4 For the following exercises, determine whether each function is increasing or decreasing. 19. k(x)=4x+1 For the following exercises, determine whether each function is increasing or decreasing. 20. j(x)=12x3 For the following exercises, determine whether each function is increasing or decreasing. 21. p(x)=14x5 For the following exercises, determine whether each function is increasing or decreasing. 22. n(x)=13x2 For the following exercises, determine whether each function is increasing or decreasing. 23. m(x)=38x+3 For the following exercises, find the slope of the line that passes through the two given points. 24. (2,4) and (4,10)For the following exercises, find the slope of the line that passes through the two given points. 25. (1,5) and (4,11)For the following exercises, find the slope of the line that passes through the two given points. 26. (1,4) and (5,2)For the following exercises, find the slope of the line that passes through the two given points. 27. (8,2) and (4,6)For the following exercises, find the slope of the line that passes through the two given points. 28. (6,11) and (4,3)For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible. 29. f(5)=4, and f(5)=2 For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible. 30. f(1)=4 and f(5)=1 For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible. 31. Passes through (2,4) and (4,10)For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible. 32. Passes through (1,5) and (4,11)For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible. 33. Passes through (1,4) and (5,2)For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible. 34. Passes through (2,8)and(4,6)For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible. 35. x-intercept at (2,0) and y-intercept at (0,3)For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible. 36. x-intercept at (5,0) and y-intercept at (0,4)For the following exercises, determine whether the lines given by the equations below are parallel,perpendicular, orneither. 37. 4x7y=107x+4y=1 For the following exercises, determine whether the lines given by the equations below are parallel, perpendicular, orneither. 38. 3y+x=12y=8x+1 For the following exercises, determine whether the lines given by the equations below are parallel, perpendicular, orneither. 39. 3y+4x=126y=8x+1 For the following exercises, determine whether the lines given by the equations below are parallel, perpendicular, orneither. 40. 6x9y=103x+2y=1 For the following exercises, find the x-and y-intercepts of each equation 41. f(x)=x+2 For the following exercises, find the x- and y-intercepts of each equation 42. g(x)=2x+4 For the following exercises, find the x-and y-intercepts of each equation 43. h(x)=3x5 For the following exercises, find the x-and y-intercepts of each equation 44. k(x)=5x+1 For the following exercises, find the x-and y-intercepts of each equation 45. 2x+5y=20 For the following exercises, find the x-and y-intercepts of each equation 46. 7x+2y=56 For the following exercises, use the descriptions of each pair oflines given below to find the slopes of Line 1 and Line2. Is each pair of lines parallel, perpendicular, or neither? Line 1: Passes through (0,6) and (3,24) Line 2: Passes through (1,19) and (8,71)For the following exercises, use the descriptions of each pair oflines given below to find the slopes of Line 1 and Line2. Is each pair of lines parallel, perpendicular, or neither? Line 1: Passes through (8,55) and (10,89) Line 2: Passes through (9,44) and (4,14)For the following exercises, use the descriptions of each pair oflines given below to find the slopes of Line 1 and Line2. Is each pair of lines parallel, perpendicular, or neither? Line 1: Passes through (2,3) and (4,1) Line 2: Passes through (6,3) and (8,5)For the following exercises, use the descriptions of each pair oflines given below to find the slopes of Line 1 and Line2. Is each pair of lines parallel, perpendicular, or neither? Line 1: Passes through (1,7) and (5,5) Line 2: Passes through (1,3) and (1,1)For the following exercises, use the descriptions of each pair oflines given below to find the slopes of Line 1 and Line2. Is each pair of lines parallel, perpendicular, or neither? Line 1: Passes through (2,5) and (5,1) Line 2: Passes through (3,7) and (3,5)For the following exercises, write an equation for the line described. 52. Write an equation for a line parallel to f(x)=5x3 and passing through the point (2,12).For the following exercises, write an equation for the line described. 53. Write an equation for a line parallel to g(x)=3x1 and passing through the point (4,9).For the following exercises, write an equation for the line described. 54. Write an equation for a line perpendicular to h(t)=2t+4 and passing through the point (4,1).For the following exercises, write an equation for the line described. 55. Write an equation for a line perpendicular to p(t)=3t+4 and passing through the point (3,1).For the following exercises, find the slope of the lines graphed.For the following exercises, find the slope of the lines graphed.For the following exercises, write an equation for the lines graphed.For the following exercises, write an equation for the lines graphed.For the following exercises, write an equation for the lines graphed.For the following exercises, write an equation for the lines graphed.For the following exercises, write an equation for the lines graphed.For the following exercises, write an equation for the lines graphed.For the following exercises, match the given linear equation with its graph in Figure 33. 64. f(x)=x1 For the following exercises, match the given linear equation with its graph in Figure 33. 65. f(x)=2x1 For the following exercises, match the given linear equation with its graph in Figure 33. 66. f(x)=12x1 For the following exercises, match the given linear equation with its graph in Figure 33. 67. f(x)=2 For the following exercises, match the given linear equation with its graph in Figure 33. 68. f(x)=2+x

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