Which of the following statements is true? O All functions that are continuous everywhere are differentiable everywhere. O A function that is not continuous at a point means that a function is not differentiable at a point. O The absolute value function is differentiable everywhere. O The function is differentiable at every real number *

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 31E
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Which of the following statements is true?
O All functions that are continuous everywhere are differentiable everywhere.
O A function that is not continuous at a point means that a function is not differentiable at a point.
O The absolute value function is differentiable everywhere.
O The function is differentiable at every real number
Transcribed Image Text:Which of the following statements is true? O All functions that are continuous everywhere are differentiable everywhere. O A function that is not continuous at a point means that a function is not differentiable at a point. O The absolute value function is differentiable everywhere. O The function is differentiable at every real number
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