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Let f be the following piecewise-defined function. 2 x+7 for xs5 f(x) = 5x +7 for x> 5 (a) Is f continuous at x = 5? (b) Is f differentiable at x= 5? (a) Is f(x) continuous at x = 5? O Yes O No (b) Is f(x) differentiable at x = 5? O Yes No

Let f be the following piecewise-defined function. 2 x+7 for xs5 f(x) = 5x +7 for x> 5 (a) Is f continuous at x = 5? (b) Is f differentiable at x= 5? (a) Is f(x) continuous at x = 5? O Yes O No (b) Is f(x) differentiable at x = 5? O Yes No

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let f be the following piecewise-defined function. x+7 for xs5 f(x) = 5x +7 for x>5 (a) Is f continuous at x = 5? (b) Is f differentiable at x= 5? (a) Is f(x) continuous at x = 5? Yes O No (b) Is f(x) differentiable at x = 5? Yes O No
Transcribed Image Text:Let f be the following piecewise-defined function. x+7 for xs5 f(x) = 5x +7 for x>5 (a) Is f continuous at x = 5? (b) Is f differentiable at x= 5? (a) Is f(x) continuous at x = 5? Yes O No (b) Is f(x) differentiable at x = 5? Yes O No
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