Problem 1E: For the functions f in Exercises 13, graph: (a)f(x+2)(b)f(x1)(c)f(x)4(d)f(x+1)+3(e)3f(x)(f)f(x)+1 Problem 2E: For the functions f in Exercises 13, graph: (a)f(x+2)(b)f(x1)(c)f(x)4(d)f(x+1)+3(e)3f(x)(f)f(x)+1 Problem 3E: For the functions f in Exercises 13, graph: (a)f(x+2)(b)f(x1)(c)f(x)4(d)f(x+1)+3(e)3f(x)(f)f(x)+1 Problem 4E: In Exercises 47, use Figure 1.46 to graph the functions. Figure 1.46 n(t)=m(t)+2 Problem 5E: In Exercises 47, use Figure 1.46 to graph the functions. Figure 1.46 p(t)=m(t1) Problem 6E: In Exercises 47, use Figure 1.46 to graph the functions. Figure 1.46 k(t)=m(t+1.5) Problem 7E: In Exercises 47, use Figure 1.46 to graph the functions. Figure 1.46 w(t)=m(t0.5)2.5 Problem 8E: Use Figure 1.47 to graph each of the following. Label any intercepts or asymptotes that can be... Problem 9E: For the functions f and g in Exercises 912, find (a)f(g(1))(b)g(f(1))(c)f(g(x))(d)g(f(x))(e)f(t)g(t)... Problem 10E: For the functions f and g in Exercises 912, find (a)f(g(1))(b)g(f(1))(c)f(g(x))(d)g(f(x))(e)f(t)g(t)... Problem 11E: For the functions f and g in Exercises 912, find (a)f(g(1))(b)g(f(1))(c)f(g(x))(d)g(f(x))(e)f(t)g(t)... Problem 12E: For the functions f and g in Exercises 912, find (a)f(g(1))(b)g(f(1))(c)f(g(x))(d)g(f(x))(e)f(t)g(t)... Problem 13E: If f(x)=x2+1, find and simplify: (a)f(t+1)(b)f(t2+1)(c)f(2)(d)2f(t)(e)(f(t))2+1 Problem 14E: For g(x)=x2+2x+3, find and simplify: (a)g(2+h)(b)g(2)(c)g(2+h)g(2) Problem 15E: Simplify the quantities in Exercises 1518 using m(z) = z2. m(z+1)m(z) Problem 16E: Simplify the quantities in Exercises 1518 using m(z) = z2. m(z+h)m(z) Problem 17E: Simplify the quantities in Exercises 1518 using m(z) = z2. m(z)m(zh) Problem 18E: Simplify the quantities in Exercises 1518 using m(z) = z2. m(z+h)m(zh) Problem 19E: Are the functions in Exercises 1926 even, odd, or neither? f(x)=x6+x3+1 Problem 20E: Are the functions in Exercises 1926 even, odd, or neither? f(x)=x3+x2+x Problem 21E: Are the functions in Exercises 1926 even, odd, or neither? f(x)=x4x2+3 Problem 22E: Are the functions in Exercises 1926 even, odd, or neither? f(x)=x3+1 Problem 23E: Are the functions in Exercises 1926 even, odd, or neither? f(x)=2x Problem 24E: Are the functions in Exercises 1926 even, odd, or neither? f(x)=ex21 Problem 25E: Are the functions in Exercises 1926 even, odd, or neither? f(x)=x(x21) Problem 26E: Are the functions in Exercises 1926 even, odd, or neither? f(x)=exx Problem 27E: For Exercises 2728, decide if the function y = f(x) is invertible. Problem 28E: For Exercises 2728, decide if the function y = f(x) is invertible. Problem 29E: For Exercises 2931, use a graph of the function to decide whether or not it is invertible.... Problem 30E: For Exercises 2931, use a graph of the function to decide whether or not it is invertible.... Problem 31E: For Exercises 2931, use a graph of the function to decide whether or not it is invertible.... Problem 32E: Let p be the price of an item and q be the number of items sold at that price, where q = f(p). What... Problem 33E: Let C = f(A) be the cost, in dollars, of building a store of area A square feet. In terms of cost... Problem 34E: Let f(x) be the temperature (F) when the column of mercury in a particular thermometer is x inches... Problem 35E: (a) Write an equation for a graph obtained by vertically stretching the graph of y = x2 by a factor... Problem 36E: How does the graph of Q = S(1 ekt) in Example 4 on page 18 relate to the graph of the exponential... Problem 37E: In Problems 3738 find possible formulas for the graphs using shifts of x2 or x3. Problem 38E: In Problems 3738 find possible formulas for the graphs using shifts of x2 or x3. Problem 39E: In Problems 3942, use Figure 1.48 to estimate the function value or explain why it cannot be done.... Problem 40E: In Problems 3942, use Figure 1.48 to estimate the function value or explain why it cannot be done.... Problem 41E: In Problems 3942, use Figure 1.48 to estimate the function value or explain why it cannot be done.... Problem 42E: In Problems 3942, use Figure 1.48 to estimate the function value or explain why it cannot be done.... Problem 43E: For Problems 4348, use the graphs in Figure 1.49. Figure 1.49 Estimate f(g(1)). Problem 44E: For Problems 4348, use the graphs in Figure 1.49. Figure 1.49 Estimate g(f(2)). Problem 45E: For Problems 4348, use the graphs in Figure 1.49. Figure 1.49 Estimate f(f(1)). Problem 46E: For Problems 4348, use the graphs in Figure 1.49. Figure 1.49 Graph f(g(x)). Problem 47E: For Problems 4348, use the graphs in Figure 1.49. Figure 1.49 Graph g(f(x)). Problem 48E: For Problems 4348, use the graphs in Figure 1.49. Figure 1.49 Graph f(f(x)). Problem 49E: For Problems 4952, determine functions f and g such that h(x) = f(g(x)). (Note: There is more than... Problem 50E: For Problems 4952, determine functions f and g such that h(x) = f(g(x)). (Note: There is more than... Problem 51E: For Problems 4952, determine functions f and g such that h(x) = f(g(x)). (Note: There is more than... Problem 52E: For Problems 4952, determine functions f and g such that h(x) = f(g(x)). (Note: There is more than... Problem 53E: A tree of height y meters has, on average, B branches, where B = y 1. Each branch has, on average,... Problem 54E Problem 55E: Complete the following table with values for the functions f, g, and h, given that: (a) f is an even... Problem 56E: Write a table of values for f1, where f is as given below. The domain of f is the integers from 1 to... Problem 57E: (a) Use Figure 1.50 to estimate f1(2). (b) Sketch a graph of f1 on the same axes. Figure 1.50 Problem 58E: For Problems 5861, decide if the function f is invertible. f(d) is the total number of gallons of... Problem 59E: For Problems 5861, decide if the function f is invertible. f(t) is the number of customers in Saks... Problem 60E: For Problems 5861, decide if the function f is invertible. f(n) is the number of students in your... Problem 61E: For Problems 5861, decide if the function f is invertible. f(w) is the cost of mailing a letter... Problem 62E: In Problems 6266, interpret the expression in terms of carbon footprint, a measure of the... Problem 63E: In Problems 6266, interpret the expression in terms of carbon footprint, a measure of the... Problem 64E: In Problems 6266, interpret the expression in terms of carbon footprint, a measure of the... Problem 65E: In Problems 6266, interpret the expression in terms of carbon footprint, a measure of the... Problem 66E: In Problems 6266, interpret the expression in terms of carbon footprint, a measure of the... Problem 67E: In Problems 6770 the functions r = f(t) and V = g(r) give the radius and the volume of a commercial... Problem 68E: In Problems 6770 the functions r = f(t) and V = g(r) give the radius and the volume of a commercial... Problem 69E: In Problems 6770 the functions r = f(t) and V = g(r) give the radius and the volume of a commercial... Problem 70E: In Problems 6770 the functions r = f(t) and V = g(r) give the radius and the volume of a commercial... Problem 71E: The cost of producing q articles is given by the function C = f(q) = 100 + 2q. (a) Find a formula... Problem 72E: Figure 1.51 shows f(t), the number (in millions) of motor vehicles registered33 in the world in the... Problem 73E: Figure 1.52 is a graph of the function f(t). Here f(t) is the depth in meters below the Atlantic... Problem 74E: Figure 1.53 shows graphs of 4 useful functions: the step, the sign, the ramp, and the absolute... Problem 75E: In Problems 7579, explain what is wrong with the statement. The graph of f(x) = (x + 1)3 is the... Problem 76E: In Problems 7579, explain what is wrong with the statement. The functions f(x) = 3x and g(x) = x3... Problem 77E: In Problems 7579, explain what is wrong with the statement. f(x) = 3x + 5 and g(x) = 3x 5 are... Problem 78E: In Problems 7579, explain what is wrong with the statement. The function f(x) = ex is its own... Problem 79E: In Problems 7579, explain what is wrong with the statement. The inverse of f(x) = x is f1(x) = 1x Problem 80E: In Problems 8083, give an example of: An invertible function whose graph contains the point (0, 3). Problem 81E: In Problems 8083, give an example of: An even function whose graph does not contain the point (0,... Problem 82E: In Problems 8083, give an example of: An increasing function f(x) whose values are greater than... Problem 83E: In Problems 8083, give an example of: Two functions f(x) and g(x) such that moving the graph of f to... Problem 84E: Are the statements in Problems 8493 true or false? Give an explanation for your answer. The... Problem 85E: Are the statements in Problems 8493 true or false? Give an explanation for your answer. The graph of... Problem 86E: Are the statements in Problems 8493 true or false? Give an explanation for your answer. If f is an... Problem 87E: Are the statements in Problems 8493 true or false? Give an explanation for your answer. If a... Problem 88E: Are the statements in Problems 8493 true or false? Give an explanation for your answer. If a... Problem 89E: Are the statements in Problems 8493 true or false? Give an explanation for your answer. The function... Problem 90E: Are the statements in Problems 8493 true or false? Give an explanation for your answer. If g(x) is... Problem 91E: Are the statements in Problems 8493 true or false? Give an explanation for your answer. If f(x) is... Problem 92E: Are the statements in Problems 8493 true or false? Give an explanation for your answer. There is a... Problem 93E: Are the statements in Problems 8493 true or false? Give an explanation for your answer. The... Problem 94E: In Problems 9497, suppose f is an increasing function and g is a decreasing function. Give an... Problem 95E: In Problems 9497, suppose f is an increasing function and g is a decreasing function. Give an... Problem 96E: In Problems 9497, suppose f is an increasing function and g is a decreasing function. Give an... Problem 97E: In Problems 9497, suppose f is an increasing function and g is a decreasing function. Give an... format_list_bulleted