Suppose f is a function such that f'(7) is undefined. Which of the following statements is always true? a. f must be continuous at x = 7. b. f is definitely not continuous at x = 7. c. There is not enough information to determine whether or not f is continuous at x = 7. Question CLAIM EVIDENCE REASONING

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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The answer is c pls show me the evidence & reasoning 

Suppose f is a function such that f'(7) is undefined. Which of the
following statements is always true?
a. f must be continuous at x = 7.
b. f is definitely not continuous at x = 7.
c. There is not enough information to determine whether or not f is
continuous at x = 7.
Question
CLAIM
EVIDENCE
REASONING
Transcribed Image Text:Suppose f is a function such that f'(7) is undefined. Which of the following statements is always true? a. f must be continuous at x = 7. b. f is definitely not continuous at x = 7. c. There is not enough information to determine whether or not f is continuous at x = 7. Question CLAIM EVIDENCE REASONING
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