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→-.
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→-.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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
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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