Consider the following graph of a function f(x) 4 A. For what value(s) x is f discontinuous? If f is continuous everywhere, answer "none." Justify your answer using the conditions of continuity. B. For what value(s) x is f non-differentiable? If f is differentiable everywhere, answer "none." Justify your answer using the conditions of differentiability. C. What is lim f(x)? If the value does not exist, x-2 answer "DNE." D. What is lim f(x)? If the value does not exist, x→1 answer "DNE."

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 graph of a function f(x)
y
X
A. For what value(s) x is f discontinuous? If f is
continuous everywhere, answer "none." Justify your
answer using the conditions of continuity.
B. For what value(s) x is f non-differentiable? If f is
differentiable everywhere, answer "none." Justify
your answer using the conditions of differentiability.
C. What is lim f(x)? If the value does not exist,
x 2
answer "DNE."
D. What is lim f(x)? If the value does not exist,
x→1
answer "DNE."
E. What is lim f(x)? If the value does not exist,
answer "DNE."
x→3
F. What is f(2)? If the value does not exist, answer
"DNE."
Transcribed Image Text:Consider the following graph of a function f(x) y X A. For what value(s) x is f discontinuous? If f is continuous everywhere, answer "none." Justify your answer using the conditions of continuity. B. For what value(s) x is f non-differentiable? If f is differentiable everywhere, answer "none." Justify your answer using the conditions of differentiability. C. What is lim f(x)? If the value does not exist, x 2 answer "DNE." D. What is lim f(x)? If the value does not exist, x→1 answer "DNE." E. What is lim f(x)? If the value does not exist, answer "DNE." x→3 F. What is f(2)? If the value does not exist, answer "DNE."
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