Problem 1FT: True or False? Explain.
1. The inverse of the function {(2, 3), (5, 5)} is {(5, 2), (5, 3)}.
Problem 2FT: True or False? Explain. The function f(x) = –2 is an invertible function. Problem 3FT Problem 4FT Problem 5FT Problem 6FT Problem 7FT Problem 8FT Problem 9FT: True or False? Explain.
9. According to the horizontal line test, y = |x| is one-to-one.
Problem 10FT Problem 1E Problem 2E Problem 3E Problem 4E Problem 5E Problem 6E Problem 7E: Determine whether each function is one-to-one. {(3,3), (5, 5), (6, 6), (9, 9)} Problem 8E: Determine whether each function is one-to-one. {(3, 4), (5, 6), (7, 8), (9,10), (11, 15)} Problem 9E: Determine whether each function is one-to-one. {(–1,1), (1,1), (–2,4), (2,4)} Problem 10E: Determine whether each function is one-to-one. {(3, 2), (5, 2), (7, 2)} Problem 11E: Determine whether each function is one-to-one. {(1, 99), (2, 98), (3, 97), (4, 96), (5, 99)} Problem 12E: Determine whether each function is one-to-one. {(–1, 9), (–2, 8), (–3, 7), (1, 9), (2, 8), (3, 7)} Problem 13E: Use the horizontal line test to determine whether each function is one-to-one. f ( x ) = x 2 − 3 x Problem 14E: Use the horizontal line test to determine whether each function is one-to-one.
Problem 15E: Use the horizontal line test to determine whether each function is one-to-one. Problem 16E: Use the horizontal line test to determine whether each function is one-to-one.
16.
Problem 17E: Use the horizontal line test to determine whether each function is one-to-one.
Problem 18E: Use the horizontal line test to determine whether each function is one-to-one. Problem 19E: Determine whether each function is one-to-one.
19.
Problem 20E: Determine whether each function is one-to-one. h ( x ) = 4 x − 9 Problem 21E: Determine whether each function is one-to-one. Problem 22E: Determine whether each function is one-to-one.
22.
Problem 23E: Determine whether each function is one-to-one.
23.
Problem 24E: Determine whether each function is one-to-one. r ( x ) = 2 | x − 1 | Problem 25E: Determine whether each function is one-to-one.
25.
Problem 26E: Determine whether each function is one-to-one.
26.
Problem 27E: Determine whether each function is one-to-one.
27.
Problem 28E: Determine whether each function is one-to-one. Problem 29E: Determine whether each function is invertible. If it is invertible, find the inverse. {(9, 3), (2,... Problem 30E: Determine whether each function is invertible. If it is invertible, find the inverse. {(4, 5), (5,... Problem 31E: Determine whether each function is invertible. If it is invertible, find the inverse. {(–1,0),... Problem 32E: Determine whether each function is invertible. If it is invertible, find the inverse. {(1, 2), (5,... Problem 33E: Determine whether each function is invertible. If it is invertible, find the inverse.
33. {(3, 3),... Problem 34E Problem 35E: Determine whether each function is invertible. If it is invertible, find the inverse. { ( 1 , 1 ) ,... Problem 36E Problem 37E: Determine whether each function is invertible and explain your answer.
37. The function that pairs... Problem 38E: Determine whether each function is invertible and explain your answer. The function that pairs the... Problem 39E Problem 40E Problem 41E Problem 42E Problem 43E: For each function f find
43.
Problem 44E Problem 45E Problem 46E Problem 47E Problem 48E Problem 49E Problem 50E Problem 51E: Find the inverse of each function by reversing a composition.
51.
b.
c. d.
e. f.... Problem 52E: Find the inverse of each function by reversing a composition. a. b. f(x) = x + 99 c. d. f(x) = 5 –... Problem 53E: Determine whether each pair of functions f and g are inverses of each other.
53.
Problem 54E: Determine whether each pair of functions f and g are inverses of each other. Problem 55E: Determine whether each pair of functions f and g are inverses of each other. Problem 56E: Determine whether each pair of functions f and g are inverses of each other. Problem 57E: For each function f sketch the graph of f–1. Problem 58E: For each function f sketch the graph of f–1. Problem 59E: For each function f sketch the graph of f–1.
59.
Problem 60E: For each function f sketch the graph of f–1. Problem 61E: Find the inverse of each function and graph both f and f-1on the same coordinate plane. f ( x ) = 3... Problem 62E: Find the inverse of each function and graph both f and f-1on the same coordinate plane. f ( x ) = −... Problem 63E: Find the inverse of each function and graph both f and f 1 on the same coordinate plane.
63. f(x) =... Problem 64E: Find the inverse of each function and graph both f and f–1 on the same coordinate plane.
64. f(x) =... Problem 65E: Find the inverse of each function and graph both f and f–1on the same coordinate plane. f ( x ) = x... Problem 66E: Find the inverse of each function and graph both f and f–1on the same coordinate plane. f ( x ) = −... Problem 67E: Find the inverse of each function and graph both f and f-1 on the same coordinate plane.
67.
Problem 68E: Find the inverse of each function and graph both f and f–1 on the same coordinate plane.
68.
Problem 69E: Find the inverse of each function using the procedure for the switch-and-solve method on page... Problem 70E: Find the inverse of each function using the procedure for the switch-and-solve method on page 241. f... Problem 71E: Find the inverse of each function using the procedure for the switch-and-solve method on page 241. Problem 72E: Find the inverse of each function using the procedure for the switch-and-solve method on page 241. Problem 73E: Find the inverse of each function using the procedure for the switch-and-solve method on page 241. f... Problem 74E: Find the inverse of each function using the procedure for the switch-and-solve method on page 241. f... Problem 75E: Find the inverse of each function using the procedure for the switch-and-solve method on page 241. Problem 76E: Find the inverse of each function using the procedure for the switch-and-solve method on page 241. Problem 77E: Find the inverse of each function using the procedure for the switch-and-solve method on page... Problem 78E: Find the inverse of each function using the procedure for the switch-and-solve method on page... Problem 79E: Find the inverse of each function using the procedure for the switch-and-solve method on page 241. Problem 80E: Find the inverse of each function using the procedure for the switch-and-solve method on page 241. Problem 81E: Find the inverse of each function using the procedure for the switch-and-solve method on page... Problem 82E: Find the inverse of each function using the procedure for the switch-and-solve method on page... Problem 83E: In each case find f(g(x)) and g(f(x)). Then determine whether g and fare inverse functions. f ( x )... Problem 84E: In each case find f(g(x)) and g(f(x)). Then determine whether g and f are inverse functions. Problem 85E: In each case find f(g(x)) and g(f(x)). Then determine whether g and f are inverse functions.
85.
Problem 86E: In each case find f(g(x)) and g(f(x)). Then determine whether g and f are inverse functions. Problem 87E: In each case find f(g(x)) and g(f(x)). Then determine whether g and f are inverse functions.
87.
Problem 88E: In each case find f(g(x)) and g(f(x)). Then determine whether g and f are inverse functions. Problem 89E Problem 90E Problem 91E Problem 92E Problem 93E: Solve each problem.
93. Price of a Car The tax on a new car is 8% of the purchase price P. Express... Problem 94E Problem 95E Problem 96E: Solve each problem. Temperature The function expresses the Celsius temperature as a function of the... Problem 97E: Solve each problem. Landing Speed The function expresses the landing speed V (in feet per second) as... Problem 98E Problem 99E Problem 100E Problem 101E Problem 102E Problem 103E Problem 104E Problem 105E Problem 106E Problem 107E Problem 108E Problem 109E Problem 110E Problem 111E Problem 112E Problem 113E: Costly Computers A school district purchased x computers at y dollars each for a total of $640,000.... Problem 114E Problem 1PQ Problem 2PQ: 2. If f = {(5, 4), (3, 6), (2, 5)}, then what is f–1(5)?
Problem 3PQ Problem 4PQ Problem 5PQ Problem 6PQ Problem 7PQ Problem LC: LINKING concepts... For Individual or Group Explorations Pay Day Loans Star Financial Corporation... format_list_bulleted