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# Review Sheet for MATH 1330 at UH

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This 3 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Houston taught by a professor in Fall. Since its upload, it has received 18 views.

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Date Created: 02/06/15
Exercise Set 15 Inverse Functions Determine whether each of the following graphs represents a onetoone function Explain your answer 1 y r Jew For each of the following functions sketch a graph and then determine whether the function is onetoone 7 2x73 8 gx x2 5 9 hXX23 Math 1330 Precalculus The University of Houston 10 fxx372 11 gxx4 12 hx 73 13 fx7x7221 14 gxx76 Answer the following 15 If a function f is onetoone then the inverse function f 1 can be graphed by either of the following methods a Interchange the and values b Re ect the graph of f over the line 1 7 16 The domain off is equal to the of f 1 and the range of f is equal to the of f l A table of values for a onetoone function y fx is given Complete the table for y f1x u x x x PM 3 74 74 2 7 2 74 5 5 5 0 0 0 3 1839 x x x x 5 9 5 4 5 5 6 73 6 78 2 78 2 6 Chapter I A Review QfFunctions Exercise Set 15 Inverse Functions For each of the following graphs Answer the following Assume thatf is a onetoone a State the domain and range of f funcnon39 b Sketch f 391 23 If f45 nd f 15 c State the domain and range of f 1 24 Iff672 nd f39172 19 y 25 Iff 1737 nd f7 26 If f391678 nd f78 f 27 Iff39 and f95 nd f 19 28 Iff574 and f25 nd f 15 29 Iff742 nd ff 12 20 i v x 30 Iff 1753 nd f 1f3 f Answer the following Assume thatfand g are de ned for all real numbers 31 If fandg are inverse functions f72 3 and f4 72 find g72 32 If fandg are inverse functions f710 and 21 y f1071 findg10 f 33 If fandg are inverse functions f58 and f93 find gf3 34 If fandg are inverse functions f71 6 and f78 find fg6 For each of the following functions write an equation for the inverse function y f391x f 35 fx5x73 36 fx74x7 V 37 fx 3 82quot 6x75 38 fx 4 Math 1330 Precalculus The University of Houston Chapter I A Review QfFunctions Exercise Set 15 Inverse Functions 39 fxx21wherex20 40 fx57x2wherex20 41 fx4x377 42 fx2x3l 7 3 43 fx7x2 7 5 44 fx777x 72x3 45 fx7 x74 7378x 46 fx7 x5 47 fxl772x 48 Use the Property of Inverse Functions to determine whether each of the following pairs of functions are inverses of each other Explain your answer 49 50 51 52 53 54 55 56 fx4xrl gxzx1 fxgt23x wkquot fxgt4quot gxgt4isx fxgt2xs my mam germ man gltxgtltx7gt5 me 5706 fxx29wherex20 gx x79 Math 1330 Precalculus The University of Houston Answer the following 57 58 If f x is a function that represents the amount of revenue in dollars by selling x tickets then What does f 1500 represent If f x is a function that represents the area of a circle with radius x then What does f 391 80 represent A function is said to be onetoone provided that the following holds for all x1 and x2 in the domain of f If fx1 fxzthen x1 xz Use the above definition to determine whether or not the following functions are onetoone If f is not one toone then give a speci c example showing that the condition fx1 fxz fails to imply that x1 x2 59 60 61 62 63 64 65 66 fx5x73 fxx35 fx74 fxX4 fXX 4 1 fx 4 x fxx23 fxx32 Chapter I A Review QfFunctions

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