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6. a. Sketch a graph of the function y= f (x) with the following properties. If there are any with dottad linag

6. a. Sketch a graph of the function y= f (x) with the following properties. If there are any with dottad linag

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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6. a. Sketch a graph of the function y= f (x) with the following properties. If there are any asymptotes, represent them with dotted lines. f (x) f'(x) f"(x) (-0,-5) x= -5 DNE DNE (-5,-2) x = -2 -4 (-2,1) x = 1 1 DNE DNE -6 (1,3) + x = 3 undefined DNE DNE (3,5) x = 5 -2 DNE DNE (5, ) lim f (x) = 2 lim f (x)= -4 lim f (x) = 1 lim f (x)= « lim f (x)=- lim f (x) = 3 x+3 x-3 b. List the intervals on which f(x) is continuous and classify each discontinuity as removable or nonremovable.
Transcribed Image Text:6. a. Sketch a graph of the function y= f (x) with the following properties. If there are any asymptotes, represent them with dotted lines. f (x) f'(x) f"(x) (-0,-5) x= -5 DNE DNE (-5,-2) x = -2 -4 (-2,1) x = 1 1 DNE DNE -6 (1,3) + x = 3 undefined DNE DNE (3,5) x = 5 -2 DNE DNE (5, ) lim f (x) = 2 lim f (x)= -4 lim f (x) = 1 lim f (x)= « lim f (x)=- lim f (x) = 3 x+3 x-3 b. List the intervals on which f(x) is continuous and classify each discontinuity as removable or nonremovable.
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