(b) Find the horizontal and vertical asymptotes of f (x) (2x+1)(x-5) %3D 4x-x²-5

Algebra and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter3: Polynomial And Rational Functions
Section3.CR: Chapter Review
Problem 13CC
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(b)
Find the horizontal and vertical asymptotes of f (x) =
(2x+1)(x-5)
4х-х2-5
(c)
Explain why the following function is discontinuous at x = 1.
(x²
х
f (x)
if x + 1
1
x²
1
if x = 1
(d) By using quotient rule, differentiate f(x) = (2x* – 7x² + 3x)(x² + 1)-1. Hence, find
the gradient of the function at x = 1.
%3D
Transcribed Image Text:(b) Find the horizontal and vertical asymptotes of f (x) = (2x+1)(x-5) 4х-х2-5 (c) Explain why the following function is discontinuous at x = 1. (x² х f (x) if x + 1 1 x² 1 if x = 1 (d) By using quotient rule, differentiate f(x) = (2x* – 7x² + 3x)(x² + 1)-1. Hence, find the gradient of the function at x = 1. %3D
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