Write a rational function f that has the specified characteristics. (There are many correct answers.) a) vertical asymptote: x=5 horizontal asymptote: y=0 zero: x=1 f(x)= ______ b) vertical asymptote: x=-5 horizontal asymptote: y=0 zero: x=5 f(x)= ______ c) vertical asymptote: x=-5, x=5 horizontal asymptote: y=4 zero: x=4, x=-4 f(x)= ______
Write a rational function f that has the specified characteristics. (There are many correct answers.) a) vertical asymptote: x=5 horizontal asymptote: y=0 zero: x=1 f(x)= ______ b) vertical asymptote: x=-5 horizontal asymptote: y=0 zero: x=5 f(x)= ______ c) vertical asymptote: x=-5, x=5 horizontal asymptote: y=4 zero: x=4, x=-4 f(x)= ______
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 53E
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Question
Write a rational function f that has the specified characteristics. (There are many correct answers.)
a) vertical asymptote: x=5
horizontal asymptote: y=0
zero: x=1
f(x)= ______
b) vertical asymptote: x=-5
horizontal asymptote: y=0
zero: x=5
f(x)= ______
c) vertical asymptote: x=-5, x=5
horizontal asymptote: y=4
zero: x=4, x=-4
f(x)= ______
d) vertical asymptote: x=-4, x=3
horizontal asymptote: y=-4
zero: x=-3, x=5
f(x)= ______
e) vertical asymptote: x=0, x=±3
horizontal asymptote: y=-3
zero: x=-1, x=1, x=2
f(x)= ______
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