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7. Consider the function f(x) that satisfies the following conditions: • f(x) is continuous for all x except x = -4, x = 0, and x = 4. f(0) is undefined • lim f(x) = 3 x-0 ● ● lim f(x)= =10 x 4 lim f(x) = ∞ x-4- lim f(x) = 2 8118 lim f(x) = ∞ x→-4+ lim f(x) = -x x→4+ lim f(x) = 2 818 (a) State the equation(s) for any horizontal asymptote(s) on the graph f (b) State the equation(s) for any vertical asymptote(s) on the graph f(x)

7. Consider the function f(x) that satisfies the following conditions: • f(x) is continuous for all x except x = -4, x = 0, and x = 4. f(0) is undefined • lim f(x) = 3 x-0 ● ● lim f(x)= =10 x 4 lim f(x) = ∞ x-4- lim f(x) = 2 8118 lim f(x) = ∞ x→-4+ lim f(x) = -x x→4+ lim f(x) = 2 818 (a) State the equation(s) for any horizontal asymptote(s) on the graph f (b) State the equation(s) for any vertical asymptote(s) on the graph f(x)

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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Calculus 

7. Consider the function f(x) that satisfies the following conditions: • f(x) is continuous for all x except x = = -4, x = 0, and x = 4. • f(0) is undefined ● lim f(x) = 3 x→0 ● lim f(x) = -∞ ---x ● lim f(x) = ∞ x-4- lim f(x) = 2 x418 lim f(x) = 2 x48 (a) State the equation(s) for any horizontal asymptote(s) on the graph f(x). lim f(x) = ∞ x→-4+ lim f(x) = -∞ x→4+ (b) State the equation(s) for any vertical asymptote(s) on the graph f(x). (c) At what x-value(s) does f(x) have any discontinuities? What type are they? If there are none, state that. -5 (d) Sketch a possible graph of f(x).
Transcribed Image Text:7. Consider the function f(x) that satisfies the following conditions: • f(x) is continuous for all x except x = = -4, x = 0, and x = 4. • f(0) is undefined ● lim f(x) = 3 x→0 ● lim f(x) = -∞ ---x ● lim f(x) = ∞ x-4- lim f(x) = 2 x418 lim f(x) = 2 x48 (a) State the equation(s) for any horizontal asymptote(s) on the graph f(x). lim f(x) = ∞ x→-4+ lim f(x) = -∞ x→4+ (b) State the equation(s) for any vertical asymptote(s) on the graph f(x). (c) At what x-value(s) does f(x) have any discontinuities? What type are they? If there are none, state that. -5 (d) Sketch a possible graph of f(x).
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