Let f denote the function if x < 2; 1 f(x) = if x 2. Which of the following is true about f? Of is continuous and differentiable at 2. Of is not continuous and not differentiable at 2. f is not continuous but differentiable at 2. Of is continuous but not differentiable at 2

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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Let f denote the function
2²,
if x < 2;
f(x) =
if x 2.
Which of the following is true about ?
Of is continuous and differentiable at 2.
Of is not continuous and not differentiable at 2.
f is not continuous but differentiable at 2.
Of is continuous but not differentiable at 2
Transcribed Image Text:Let f denote the function 2², if x < 2; f(x) = if x 2. Which of the following is true about ? Of is continuous and differentiable at 2. Of is not continuous and not differentiable at 2. f is not continuous but differentiable at 2. Of is continuous but not differentiable at 2
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