1. For the rational function g(x)= x'+7x+12 r+x-6 (a) Explain why x=2 is a vertical asymptote. (b) Explain why x=-3 is a hole in the graph (and not a vertical asymptote). (e) As x approaches x= 2 from the left (x→2), determine mathematically whether y→ or y→-.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 11CC
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x² +7x+12
1. For the rational function g(x)=
x'+x-6
(a) Explain why x= 2 is a vertical asymptote.
(b) Explain why x=-3 is a hole in the graph (and not a vertical asymptote).
(c) As x approaches x= 2 from the left (x→2°), determine mathematically whether y→ o or y→-.
10 po
Transcribed Image Text:x² +7x+12 1. For the rational function g(x)= x'+x-6 (a) Explain why x= 2 is a vertical asymptote. (b) Explain why x=-3 is a hole in the graph (and not a vertical asymptote). (c) As x approaches x= 2 from the left (x→2°), determine mathematically whether y→ o or y→-. 10 po
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