# HW5 Sol - Math 2312 Homework 5 Due Wednesday at the beginning of class 1 a Sketch the function f x 1 32 x by first sketching the parent function

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Page 1 of 6 Math 2312 Homework 5 Due: Wednesday, June 30, 2010, at the beginning of class 1. a) Sketch the function x x f 2 3 1 ) ( by first sketching the parent function and then sketching each transformation leading to f ( x ). Solution: (0,1) (-2,1) (2,1) (2,-1) (2,0) x y 3 x y 2 3 x y 2 3 x y 2 3 x y 2 3 1

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Page 2 of 6 Note that the horizontal asymptote is y = 1 and the point at location (0,1) on the parent function x y 3 has moved to (2,0) on the final graph. b) State the domain and range of f ( x ) in interval notation. Solution: From the last graph, the domain is ) , (  (the graph extends forever to the left as well as the right, although it extends to the left very “slowly.” From the last graph, the range includes all values of y below the horizontal asymptote, or ) 1 , (  2. Solve x x 2 1 4 3 2 2 Solution: The strategy would be to match the bases here:     2 , 3 0 ) 2 )( 3 ( 0 6 6
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## This note was uploaded on 10/07/2010 for the course MATH 2312 taught by Professor Garrett during the Summer '10 term at Richland Community College.

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HW5 Sol - Math 2312 Homework 5 Due Wednesday at the beginning of class 1 a Sketch the function f x 1 32 x by first sketching the parent function

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