Problem 1CP: Checkpoint Determine whether the relation represents y as a function of x. a. b. Input, x 0 1 2 3 4... Problem 2CP: Checkpoint Determine whether each equation represents y as a function of x. a.x2+y2=8 b. y4x2=36 Problem 3CP: Checkpoint Let f(x)=103x2. Find each function value. a.f(2) b. f(4) c. f(x1) Problem 4CP: Example 4 A Piecewise-Defined Function Evaluate the function when x=1,0, and 1. f(x)={x2+1,x0x1,x0... Problem 5CP: Checkpoint Find all real values of x for which f(x)=0, where f(x)=x216. Problem 6CP: Checkpoint Find the values of x for which f(x)=g(x), where f(x)=x2+6x24 and g(x)=4xx2. Problem 7CP Problem 8CP Problem 9CP: Checkpoint A second baseman throws a baseball toward the first baseman 60 feet away. The path of the... Problem 10CP Problem 11CP: Checkpoint For f(x)=x2+2x3, find f(x+h)f(x)h. Problem 1E: Vocabulary: Fill in the blanks. A relation that assigns to each element x from a set of inputs,... Problem 2E: Vocabulary: Fill in the blanks. For an equation that represents y as a function of x, the set of all... Problem 3E Problem 4E: Vocabulary: Fill in the blanks. One of the basic definitions in calculus uses the ratio f(x+h)f(x)h,... Problem 5E: Testing for Functions In Exercises 5-8, determine whether the relation represents y as a function of... Problem 6E: Testing for Functions In Exercises 5-8, determine whether the relation represents y as a function of... Problem 7E Problem 8E Problem 9E: Testing for Functions In Exercises 9 and 10, which sets of ordered pairs represent functions from A... Problem 10E Problem 11E: Testing for Functions Represented Algebraically In Exercises 11-18, determine whether the equation... Problem 12E Problem 13E: Testing for Functions Represented Algebraically In Exercises 11-18, determine whether the equation... Problem 14E: Testing for Functions Represented Algebraically In Exercises 11-18, determine whether the equation... Problem 15E: Testing for Functions Represented Algebraically In Exercises 11-18, determine whether the equation... Problem 16E: Testing for Functions Represented Algebraically In Exercises 11-18, determine whether the equation... Problem 17E Problem 18E: Testing for Functions Represented Algebraically In Exercises 11-18, determine whether the equation... Problem 19E: Evaluating a Function In Exercises 19-30, find each function value, if possible. f(x)=3x5 a f(1) b... Problem 20E: Evaluating a Function In Exercises 19-30, find each function value, if possible. V(r)=43r3 a V(3) b... Problem 21E Problem 22E: Evaluating a Function In Exercises 19-30, find each function value, if possible. h(t)=t2+t+1 a h(2)... Problem 23E Problem 24E: Evaluating a Function In Exercises 19-30, find each function value, if possible. f(x)=x+8+2 a f(8) b... Problem 25E: Evaluating a Function In Exercises 19-30, find each function value, if possible. q(x)=1x29 a q(0) b... Problem 26E: Evaluating a Function In Exercises 19-30, find each function value, if possible. q(t)=2t2+3t2 a q(2)... Problem 27E Problem 28E: Evaluating a Function In Exercises 19-30, find each function value, if possible. f(x)=|x|+4 a f(2) b... Problem 29E Problem 30E: Evaluating a Function In Exercises 19-30, find each function value, if possible.... Problem 31E Problem 32E: Evaluating a Function In Exercises 31-34, complete the table. h(t)=12|t+3| t 5 4 3 2 1 ht Problem 33E Problem 34E: Evaluating a Function In Exercises 31-34, complete the table. f(x)={9x2,x3x2,x3 x 1 2 3 4 5 fx Problem 35E Problem 36E: Finding Values for Which f(x)=0 In Exercises 35-42, find all real values of x for which f(x)=0.... Problem 37E: Finding Values for Which f(x)=0 In Exercises 35-42, find all real values of x for which f(x)=0.... Problem 38E: Finding Values for Which f(x)=0 In Exercises 35-42, find all real values of x for which f(x)=0.... Problem 39E: Finding Values for Which f(x)=0 In Exercises 35-42, find all real values of x for which f(x)=0.... Problem 40E: Finding Values for Which f(x)=0 In Exercises 35-42, find all real values of x for which f(x)=0.... Problem 41E Problem 42E: Finding Values for Which f(x)=0 In Exercises 35-42, find all real values of x for which f(x)=0.... Problem 43E: Finding Values for Which f(x)=g(x) In Exercises 43-46, find the values of x for which f(x)=g(x).... Problem 44E: Finding Values for Which f(x)=g(x) In Exercises 43-46, find the values of x for which f(x)=g(x).... Problem 45E: Finding Values for Which f(x)=g(x) In Exercises 43-46, find the values of x for which f(x)=g(x).... Problem 46E: Finding Values for Which f(x)=g(x) In Exercises 43-46, find the values of x for which f(x)=g(x).... Problem 47E: Finding the Domain of a Function In Exercises 47-56, find the domain of the function. f(x)=5x2+2x1 Problem 48E: Finding the Domain of a Function In Exercises 47-56, find the domain of the function. g(x)=12x2 Problem 49E: Finding the Domain of a Function In Exercises 47-56, find the domain of the function. g(y)=y+6 Problem 50E: Finding the Domain of a Function In Exercises 47-56, find the domain of the function. f(t)=t+43 Problem 51E: Finding the Domain of a Function In Exercises 47-56, find the domain of the function. g(x)=1x3x+2 Problem 52E: Finding the Domain of a Function In Exercises 47-56, find the domain of the function. h(x)=6x24x Problem 53E: Finding the Domain of a Function In Exercises 47-56, find the domain of the function. f(s)=s1s4 Problem 54E: Finding the Domain of a Function In Exercises 47-56, find the domain of the function. f(x)=x+66+x Problem 55E: Finding the Domain of a Function In Exercises 47-56, find the domain of the function. f(x)=x4x Problem 56E: Finding the Domain of a Function In Exercises 47-56, find the domain of the function. f(x)=x+2x10 Problem 57E: Maximum Volume An open box of maximum volume is made from a square piece of material 24 centimeters... Problem 58E: Maximum Profit The cost per unit in the production of an MP3 player is 60. The manufacturer charges... Problem 59E: Geometry Write the area A of a square as a function of its perimeter P. Problem 60E: Geometry Write the area A of a circle as a function of its circumference C. Problem 61E: Path of a ball You throw a baseball to a child 25 feet away. The height y in feet of the baseball is... Problem 62E: Postal Regulations A rectangular package has a combined length and girth perimeter of a cross... Problem 63E: Geometry A right triangle is formed in the first quadrant by the x- and y- axes and a line through... Problem 64E: Geometry A rectangle is bounded by the x-axis and the semicircle y=36x2 see figure. Write the area A... Problem 65E: Pharmacology The percent p of prescriptions filled with generic drugs at CVS Pharmacies from 2008... Problem 66E: Median Sale Price The median sale price p in thousands of dollars of an existing one-family home in... Problem 67E: Cost, Revenue, and Profit A company produces a product for which the variable cost is 12.30 per unit... Problem 68E: Average Cost The inventor of a new game believes that the variable cost for producing the game is... Problem 69E: Height of a Balloon A balloon carrying a transmitter ascends vertically from a point 3000 feet from... Problem 70E: Physics The function F(y)=149.7610y5/2 estimates the force F in tons of water against the face of a... Problem 71E: Transportation For groups of 80 or more people, a charter bus company determines the rate per person... Problem 72E: E-Filing The table shows the numbers of tax returns in millions made through e-file from 2007... Problem 73E Problem 74E: Evaluating a Difference Quotient In Exercises 73-80, find the difference quotient and simplify your... Problem 75E: Evaluating a Difference Quotient In Exercises 73-80, find the difference quotient and simplify your... Problem 76E: Evaluating a Difference Quotient In Exercises 73-80, find the difference quotient and simplify your... Problem 77E: Evaluating a Difference Quotient In Exercises 73-80, find the difference quotient and simplify your... Problem 78E: Evaluating a Difference Quotient In Exercises 73-80, find the difference quotient and simplify your... Problem 79E: Evaluating a Difference Quotient In Exercises 73-80, find the difference quotient and simplify your... Problem 80E: Evaluating a Difference Quotient In Exercises 73-80, find the difference quotient and simplify your... Problem 81E Problem 82E: Modeling Data In Exercises 81-84, determine which of the following functions... Problem 83E: Modeling Data In Exercises 81-84, determine which of the following functions... Problem 84E: Modeling Data In Exercises 81-84, determine which of the following functions... Problem 85E: True or False? In Exercises 85-88, determine whether the statement is true or false. Justify your... Problem 86E: True or False? In Exercises 85-88, determine whether the statement is true or false. Justify your... Problem 87E Problem 88E: True or False? In Exercises 85-88, determine whether the statement is true or false. Justify your... Problem 89E: Error Analysis Describe the error. The functions f(x)=x1 and g(x)=1x1 have the same domain, which is... Problem 90E: Think About It Consider f(x)=x2 and g(x)=x13. Why are the domains of f and g different? Problem 91E: Think About It Given f(x)=x2, is f the independent variable? Why or why not? Problem 92E: HOW DO YOU SEE IT? The graph represents the height h of a projectile after t seconds. a Explain why... Problem 93E: Think About It In Exercises 93 and 94, determine whether the statements use the word function in... Problem 94E: Think About It In Exercises 93 and 94, determine whether the statements use the word function in... format_list_bulleted