For the following graph of f(x), identify where f(x) is not differentiable and why. 16 8- -1 -8 -16

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For the following graph of f(x), identify where f(x) is not differentiable and why.
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O f(x) is not differentiable at x = 1 because f(x) has a cusp at x = 1.
O f(x) is not differentiable at x = 1 because f(x) has a corner at x = 1.
f(x) is not differentiable at x = 1 because f(x) has a jump at x = 1.
O f(x) is not differentiable at x = 1 because f(x) is not defined at x = 1.
Transcribed Image Text:For the following graph of f(x), identify where f(x) is not differentiable and why. 16+ 8- -5 -4 -3 -2 2 3 -8- -16 O f(x) is not differentiable at x = 1 because f(x) has a cusp at x = 1. O f(x) is not differentiable at x = 1 because f(x) has a corner at x = 1. f(x) is not differentiable at x = 1 because f(x) has a jump at x = 1. O f(x) is not differentiable at x = 1 because f(x) is not defined at x = 1.
Is the graph of f(x) shown continuous at x = 1?
Is it differentiable at x = 1?
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O f(x) is not continuous at x = 1 and f(x) is not differentiable at x = 1.
O f(x) is not continuous at x = 1 and f(x) is differentiable at x = 1.
%3D
O f(x) is continuous at x = 1 and f(x) is not differentiable at x = 1.
f(x) is continuous at x = 1 and f(x) is differentiable at x = 1.
Transcribed Image Text:Is the graph of f(x) shown continuous at x = 1? Is it differentiable at x = 1? %3D 16 8. -5 -4 -3 -2 -1 1 2 3 4 -8- -16 O f(x) is not continuous at x = 1 and f(x) is not differentiable at x = 1. O f(x) is not continuous at x = 1 and f(x) is differentiable at x = 1. %3D O f(x) is continuous at x = 1 and f(x) is not differentiable at x = 1. f(x) is continuous at x = 1 and f(x) is differentiable at x = 1.
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