1. Given the function f(x) = C. f'(x) = 2 for all x. (2x -1, x ≤ 1 x², x > 1 A. f is continuous and differentiable for all x. D. f'(x) = 2x for all x. . Which of the following statements is/are true? B. f is continuous but not differentiable at x = 1.

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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1. Given the function f(x) = {2x = 1, x ≤ 1
A. f is continuous and differentiable for all x.
x², x>1. Which of the following statements is/are true?
B. f is continuous but not differentiable at x = 1.
C. f'(x) = 2 for all x.
D. f'(x) = 2x for all x.
(013
Transcribed Image Text:1. Given the function f(x) = {2x = 1, x ≤ 1 A. f is continuous and differentiable for all x. x², x>1. Which of the following statements is/are true? B. f is continuous but not differentiable at x = 1. C. f'(x) = 2 for all x. D. f'(x) = 2x for all x. (013
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