Consider the following function: f (x) = (x − 4)(x + 2) / (x+4)(x+2 1.For what values of x is f(x) continuous? State your answer using interval notation 2.Find the following limits (if they exist) a. lim f (x) x→ −4 b. lim f(x) x→ −2 3.Does f(x) ha
Consider the following function: f (x) = (x − 4)(x + 2) / (x+4)(x+2 1.For what values of x is f(x) continuous? State your answer using interval notation 2.Find the following limits (if they exist) a. lim f (x) x→ −4 b. lim f(x) x→ −2 3.Does f(x) ha
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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Consider the following function: f (x) = (x − 4)(x + 2) / (x+4)(x+2
1.For what values of x is f(x) continuous? State your answer using interval notation
2.Find the following limits (if they exist)
a. lim f (x) x→ −4
b. lim f(x) x→ −2
3.Does f(x) have any vertical asymptotes? If yes, then write down the equation of the vertical asymptote(s)? Show working or give a reason for your answer.
4.Does f(x) have a horizontal asymptote? If yes, then write down the equation of the horizontal asymptote? Show working or give a reason for your answer.
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