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MAC_1147_Fall_11_Exam_3_Review

# MAC_1147_Fall_11_Exam_3_Review - MAC 1147 Fall 11 Ref...

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Unformatted text preview: MAC 1147 Fall 11 Ref: 637049 Mr. Guillen Exam 3 Review Exam 3 will be on 10/10/11 and covers the following sections: 5.1, 5.2, 5.3, 5.4, 5.5, 5.6. Find the inverse of the function. 1) f(x) = 1 2 x + 1 1) 2) f(x) = 3 x + 1 2) 3) f(x) = 3 x + 1 3) Determine whether the given function is one- to- one. If it is one- to- one, find a formula for the inverse. 4) f(x) = 7x 3 + 3 4) 5) f(x) = 6 x - 6 5) 6) f(x) = x - 10 x - 4 6) For the function f, use composition of functions to show that f- 1 is as given. 7) f(x) = x + 6 8 , f- 1 (x) = 8x - 6 7) Determine whether the given function is one- to- one. If it is one- to- one, find a formula for the inverse. 8) f(x) = 5x 2- 9, x ≥ 8) For the function f, use composition of functions to show that f- 1 ( f (x) ) = x and f (f- 1 (x) ) = x . 9) f(x) = x + 7 4 , f- 1 (x) = 4x - 7 9) 10) f(x) = x 3- 9, f- 1 (x) = 3 x + 9 10) 11) f(x) = x + 7 8 , f- 1 = 8x - 7 11) 12) f(x) = 3 x + 3 , f- 1 (x) = x 3- 3 12) Graph the function. 13) f(x) = 5 (4x - 3) x-6-4-2 2 4 6 y 6 4 2-2-4-6 x-6-4-2 2 4 6 y 6 4 2-2-4-6 13) 14) f(x) = 2 (x - 3) x-6-4-2 2 4 6 y 6 4 2-2-4-6 x-6-4-2 2 4 6 y 6 4 2-2-4-6 14) 15) f(x) = 2 x + 1 x-5 -4 -3 -2 -1 1 2 3 4 5 y 5 4 3 2 1-1-2-3-4-5 x-5 -4 -3 -2 -1 1 2 3 4 5 y 5 4 3 2 1-1-2-3-4-5 15) 16) f(x) = 2- x- 1 x-5 -4 -3 -2 -1 1 2 3 4 5 y 5 4 3 2 1-1-2-3-4-5 x-5 -4 -3 -2 -1 1 2 3 4 5 y 5 4 3 2 1-1-2-3-4-5 16) 17) f(x) = e 3x- 1 x-5 -4 -3 -2 -1 1 2 3 4 5 y 5 4 3 2 1-1-2-3-4-5 x-5 -4 -3 -2 -1 1 2 3 4 5 y 5 4 3 2 1-1-2-3-4-5 17) 18) f(x) = 2 - e- x x-10-5 5 10 y 10 5-5-10 x-10-5 5 10 y 10 5-5-10 18) Graph the function. Describe its position relative to the graph of the indicated basic function. 19) f(x) = log 4 (x - 3); relative to f(x) = log 4 x x-10-5 5 10 y 10 5-5-10 x-10-5 5 10 y 10 5-5-10 19) 20) f(x) = 4 + log 6 x; relative to f(x) = log 6 x x-10-5 5 10 y 10 5-5-10 x-10-5 5 10 y 10 5-5-10 20) 21) f(x) = ln x + 4; relative to f(x) = ln x x-10-5 5 10 y 10 5-5-10 x-10-5 5 10 y 10 5-5-10 21) Find the domain and the vertical asymptote of the function....
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MAC_1147_Fall_11_Exam_3_Review - MAC 1147 Fall 11 Ref...

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