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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

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.6: Absolute Value Functions
Problem 11SE: For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. 11....
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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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