Note for MATH 120R at UA
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This 2 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Arizona taught by a professor in Fall. Since its upload, it has received 34 views.
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Date Created: 02/06/15
Rational Functions 1 What is a rational function N x 2 Suppose Rxis a rational function whereRx answer the following referring to this general x rational function a If there is a vertical asymptotesx c then 0 at x c b If there is not a vertical asymptote then c If there is a horizontal asymptote y 0 then d If there a horizontal asymptote y kk 0 then e If there is a slant asymptote then f If there is a hole at x c then g If there is a zero on Rxthen 3 Create an equation for a A rational function not a polynomial with no vertical asymptotes b A rational function with asymptotes y 0 x 2 x 3 1 c A rational function with asymptotes y x 4 x 6 and zeros at 2 and 7 6 d A rational function with asymptotes y g x 6 x 3 and zero at 1 only 4 Use the graphs of and gx given below to answer the following 70 9Z a If we let hx is hx a rational function Why E W b What is are the vertical asymptotes of hx c What is are the zeros of hx 5 Create an equation for each 1 a Shift the graph of y 2 two units to the right X b Shift the graph of y l three units down then re ect across the xaxis x Suppose y x is a rational function with a horizontal asymptote of y 3and a vertical asymptote of x 5 a What is the domain of b What are the asymptotes of the transformed function y fx1 c What are the asymptotes of the transformed function y 2 7 Find the Domain for each of the following functions assume Aand B are constants mzi4 15t35t273t2 T 44444447 b 1 4444444444 WWJ m Myra Wife f0 42 12 r76 yz 5 c r d h iiii g AFB iiii y y Syz 6y
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