For Exercise, refer to c(x) = x3 – 4x2 – 2x + 8 and d(x) = x3 + 3x2 – 4. r - 4x? – 2x + 8 Find the horizontal asymptote or slant asymptote of the graph of g(x) c(x) d(x) %3D x + 3x – 4

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section5.1: Quardratic Functions
Problem 16SE: For the following exercises, determine whether there is a minimum or maximum value to each quadratic...
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For Exercise, refer to c(x) = x3 – 4x2 – 2x + 8 and d(x) = x3 + 3x2 – 4.
r - 4x? – 2x + 8
Find the horizontal asymptote or slant asymptote of the graph of g(x)
c(x)
d(x)
%3D
x + 3x – 4
Transcribed Image Text:For Exercise, refer to c(x) = x3 – 4x2 – 2x + 8 and d(x) = x3 + 3x2 – 4. r - 4x? – 2x + 8 Find the horizontal asymptote or slant asymptote of the graph of g(x) c(x) d(x) %3D x + 3x – 4
Expert Solution
Step 1

Points for horizontal asymptote

i) If both numerator and denominator are of same degree than divide the  coefficients of highest degree.

ii) If degree of denominator is greater than numerator than x-axis or y=0 is the horizontal asymptote.

iii) If degree of numerator is greater than denominator than there is no horizontal asymptote.

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