Does continuity of f imply continuity of f? Let 94. 1 g(x)=1 if x 0 if x< 0. -1 a. Write a formula for g(x). b. Is g continuous at x = 0? Explain. 0? Explain. c. Is g continuous at x = d. For any function f, iffis continuous at a, does it necessarily follow that f is continuous at a? Explain.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section2.3: Analyzing Graphs Of Functions
Problem 4ECP
Question
Does continuity of f imply continuity of f? Let
94.
1
g(x)=1
if x 0
if x< 0.
-1
a. Write a formula for g(x).
b. Is g continuous at x = 0? Explain.
0? Explain.
c. Is g continuous at x =
d. For any function f, iffis continuous at a, does it necessarily
follow that f is continuous at a? Explain.
Transcribed Image Text:Does continuity of f imply continuity of f? Let 94. 1 g(x)=1 if x 0 if x< 0. -1 a. Write a formula for g(x). b. Is g continuous at x = 0? Explain. 0? Explain. c. Is g continuous at x = d. For any function f, iffis continuous at a, does it necessarily follow that f is continuous at a? Explain.
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