Consider the function f : R → R f(x) = 3|x|. Which of the following statements is correct? Of is differentiable: ƒ € C¹(R) Of is not continuous: f & C(R) Of is continuous, but not differentiable: ƒ € C(R), but ƒ & C¹(R)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 78RE
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Question 1
Consider the function f : R → R f(x) = 3|x| .
Which of the following statements is correct?
O ƒ is differentiable: f € C'(R)
f is not continuous: f ¢ C(R)
f is continuous, but not differentiable: f e C(R), but f ¢ C' (R)
Transcribed Image Text:Question 1 Consider the function f : R → R f(x) = 3|x| . Which of the following statements is correct? O ƒ is differentiable: f € C'(R) f is not continuous: f ¢ C(R) f is continuous, but not differentiable: f e C(R), but f ¢ C' (R)
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