For the following graph of f(x), identify where f(x) is not differentiable and why. 4- 2- -5 -4 -3 2 3 4 -2- -4+ O f(x) is not differentiable at x = O because f(x) has a jump at x = 0. O f(x) is not differentiable at x = 0 because f(x) has a cusp at x = 0. %3D O f(x) is not differentiable at x = 0 because f(x) has a corner at x = 0. O f(x) is not differentiable at x = 0 because f(x) is not defined at x = 0.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 23SE: For the following exercises, consider the graph shown in Figure 16. Estimate the point(s) at which...
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For the following graph of f(x), identify where f(x) is not differentiable and why.
4
2-
-5
-2
4
-2-
-4
O f(x) is not differentiable at x = 0 because f(x) has a jump at x = 0.
%3D
O f(x) is not differentiable at x
O because f(x) has a cusp at x = 0.
O f(x) is not differentiable at x = 0 because f(x) has a corner at x = 0.
O f(x) is not differentiable at x
O because f(x) is not defined at x = 0.
Transcribed Image Text:For the following graph of f(x), identify where f(x) is not differentiable and why. 4 2- -5 -2 4 -2- -4 O f(x) is not differentiable at x = 0 because f(x) has a jump at x = 0. %3D O f(x) is not differentiable at x O because f(x) has a cusp at x = 0. O f(x) is not differentiable at x = 0 because f(x) has a corner at x = 0. O f(x) is not differentiable at x O because f(x) is not defined at x = 0.
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