b) Has a vertical asymptote at x = -2, a horizontal asymptote at y = 0, a y-intercept at (0,2) and never intersects the x-axis.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Determine a rational function f satisfying all the given conditions
a) Has a vertical asymptote at x = 1, a horizontal asymptote at y = 0, a y-intercept at (0.-1)
and never intersects the x- axis.
b) Has a vertical asymptote at x = -2, a horizontal asymptote at y = 0, a y-intercept at (0,2)
and never intersects the x-axis.
c) Has a vertical asymptotes at x = 2 and x = -3, a horizontal asymptote at y = 1, and x-intercepts
at (3,0) and (4,0)
Transcribed Image Text:Determine a rational function f satisfying all the given conditions a) Has a vertical asymptote at x = 1, a horizontal asymptote at y = 0, a y-intercept at (0.-1) and never intersects the x- axis. b) Has a vertical asymptote at x = -2, a horizontal asymptote at y = 0, a y-intercept at (0,2) and never intersects the x-axis. c) Has a vertical asymptotes at x = 2 and x = -3, a horizontal asymptote at y = 1, and x-intercepts at (3,0) and (4,0)
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