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1. Consider the function /(x)=²x² + x) 2x²+x-6 X-4 a. Find the domain of f(x). Where is f(x) discontinuous? b. For each value a where f(x) is discontinuous, calculate the following three limits: lim f(x) lim f(x) lim f(x) c. Does the function have a vertical asymptote at x = 2? If not, what is happening on the graph of f at x = 2?

1. Consider the function /(x)=²x² + x) 2x²+x-6 X-4 a. Find the domain of f(x). Where is f(x) discontinuous? b. For each value a where f(x) is discontinuous, calculate the following three limits: lim f(x) lim f(x) lim f(x) c. Does the function have a vertical asymptote at x = 2? If not, what is happening on the graph of f at x = 2?

Calculus: Early Transcendentals
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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1. Consider the function /(x)=2 a. Find the domain of f(x). Where is f(x) discontinuous? b. For each value a where f(x) is discontinuous, calculate the following three limits: lim f(x) 2x²+x-6 ²- lim f(x) 3-40 lim f(x) c. Does the function have a vertical asymptote at x = 2? If not, what is happening on the graph of f at x = 2? d. Does the function have a vertical asymptote at x = -2? If not, what is happening on the graph of fat x = -2? e. Calculate lim f(x) and lim f(x). f. Does f have any horizontal asymptotes? If so, what are they?
Transcribed Image Text:1. Consider the function /(x)=2 a. Find the domain of f(x). Where is f(x) discontinuous? b. For each value a where f(x) is discontinuous, calculate the following three limits: lim f(x) 2x²+x-6 ²- lim f(x) 3-40 lim f(x) c. Does the function have a vertical asymptote at x = 2? If not, what is happening on the graph of f at x = 2? d. Does the function have a vertical asymptote at x = -2? If not, what is happening on the graph of fat x = -2? e. Calculate lim f(x) and lim f(x). f. Does f have any horizontal asymptotes? If so, what are they?
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