MAC 1147 Exponential and Logarithmic Functions Review 2 Prof Nicoli Suco Name Determine whether or not the function is one to one 1 f x 4x3 8 1 A No B Yes B Decide whether the given functions are inverses 2 x 4 5 6 7 8 f x 19 21 23 25 27 x 19 21 23 25 27 2 g x 4 5 6 7 8 A Yes B No A 3 x 3 6 9 12 15 3 f x x g x 1 1 3 2 2 6 3 3 9 4 4 12 5 5 15 A No B Yes A Determine whether or not the function is one to one 4 f x 25 x2 4 A Yes B No B 1 Decide whether or not the functions are inverses of each other 5 5 A No B Yes A 6 6 A Yes B No A 7 f x 7x 7 g x 1 x 1 7 7 A Yes B No A 8 f x 3 4x 3 g x x 4 x 8 A Yes B No B 9 f x 3x 9 g x 1 x 3 3 9 A Yes B No A 2 If the following defines a one to one function find its inverse If not write Not one to one 10 14 17 2 6 17 11 10 A 14 6 14 2 11 17 B 17 14 17 2 11 6 C 17 14 6 2 11 17 D Not one to one C 11 6 3 11 3 2 7 11 A 3 6 3 11 7 2 B 6 3 3 11 7 2 C Not one to one D 3 6 2 11 7 3 C 12 5 6 4 6 3 2 2 7 12 A Not one to one B 6 5 4 2 3 7 C 6 5 7 2 3 4 D 5 7 5 2 3 4 A 13 2 4 2 4 8 2 8 2 13 A 4 2 4 2 8 2 2 8 B Not one to one C 4 2 4 2 2 8 2 8 D 4 2 4 2 2 8 2 8 C If f is one to one find an equation for its inverse 14 f x 6x 1 1 1 A f 1 x x 6 6 1 B f 1 x x 1 6 1 x 1 6 1 1 D f 1 x x 6 6 C f 1 x 14 D 15 f x x3 4 A f 1 x C f 1 x 15 3 3 x 4 B Not a one to one function 3 D f 1 x x 4 x 4 A 16 f x 7x3 5 16 A Not a one to one function 3 x 5 B f 1 x 7 3 x 5 7 3 x 5 D f 1 x 7 C f 1 x B 3 17 f x 7 x 9 17 9x 7 A f 1 x x B f 1 x x 9 7x C Not a one to one function 9 7x D f 1 x x A Find the domain and range of the inverse of the given function 18 f x 5x 3 18 A Domain 3 range all real numbers B Domain 5 range 3 C Domain all real numbers range 3 D Domain and range all real numbers D 19 f x 1 x 5 19 A Domain all real numbers range 5 B Domain 0 C Domain 5 0 range 5 5 range 0 5 5 0 D Domain and range are all real numbers B 20 f x x 3 5 20 A Domain and range all real numbers B Domain 5 range all real numbers C Domain all real numbers range 5 D Domain 0 range 0 A 4 Use the graph of f to sketch a graph of the inverse of f using a dashed curve 21 21 A B C D D 5 22 22 A B C D C 6 The graph of a function f is given Use the graph to find the indicated value 23 f 1 3 23 A 1 B 1 2 C 5 2 D 8 B 24 f 1 1 24 A 1 3 B 2 3 C 4 D 3 B Find the function value If the result is irrational round your answer to the nearest thousandth 25 Let f x 5 x Find f 2 A 3125 25 B 25 C 10 D 32 B 26 Let f x A 1 6 1 x Find f 2 3 26 B 1 8 C 9 D 7 D 1 9 27 Let f x 6 x Find f 3 1 A 18 1 C 729 B 18 1 D 216 27 D Graph the function 28 f x 2 x 28 A B C D C 8 29 f x 1 x 2 29 A B C D C 9 Graph the exponential function using transformations where appropriate 30 f x 2 x 4 30 A B C D A 10 31 f x 3 x 3 31 A B C D B 11 32 f x 4 x 1 32 A B C D B 12 33 f x 1 x 3 4 33 A B C D D 13 Use a graphing calculator to graph the function ex e x 34 f x 2 34 A B C D A Solve the equation 35 36x 6 A 2 1 B 2 1 C 2 C 14 35 D 2 1 x 343 7 36 A 3 36 B 1 3 C 3 D 1 3 A 37 7 x 6561 9 2401 A 4 37 B 1 4 C 4 D 1 4 A 38 5 x A 1 625 1 125 38 B 4 C 4 D 1 4 B 39 3 12 3x 27 A 9 39 B 3 C 4 D 3 C 0 1 D 7 B 40 e2x 1 e5 x A 2 1 B 3 40 D 41 64x 3 8 4x A 18 41 1 B 2 C 3 D 1 C 42 m 2 A 1 9 1 3 42 B 3 C 9 D 3 3 D 43 1 5x 3 9 x 4 3 A 11 5 43 B 5 7 C B 15 1 7 D 1 6 44 7 x 1 49x A 3 2 C 3 B 1 1 D 3 44 D Find the future value 45 5728 invested for 10 years at 5 compounded quarterly A 9414 65 B 9434 07 C 9385 99 45 D 9330 31 A 46 3777 invested for 8 years at 6 compounded annually A 6096 62 B 6060 98 C 6082 19 46 D 6019 96 D 47 11 010 invested for 9 years at 6 compounded semiannually A 18 867 83 B 18 743 79 C 18 817 63 47 D 18 601 16 B Find the present value of the future value 48 12 000 invested for 6 years …