For the following exercises, consider the graph of the function f and determine where the function is continuous/ discontinuous and differentiable/not differentiable.

Expert Solution

A function is discontinuous wherever there is a point of discontinuity.

A function is not differentiable wherever there is a point of discontinuity or a sharp corner.

Consider the graph provided in the textbook:

The graph of function is continuous on (-∞, -2) ∪ (-2, 0) ∪ (0, ∞).

The graph of function is discontinuous at x = -2 and x = 0.

The graph is differentiable on (-∞, -2) ∪ (-2, -0) ∪ (2, ∞).

The graph of the function is not differentiable at x = -2 because of point of discontinuity.

The graph of the function is not differentiable at x = 0 because of point of discontinuity.

The graph of the function is not differentiable at x = 2 because of a sharp corner.

Junaid answered 1 year ago

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Question

For the following exercises, consider the graph of the function f and determine where the function is continuous/ discontinuous and differentiable/not differentiable.

Solutions

Expert Solution

Related Solutions

For the following exercises, consider the graph of the function f and determine where the function is continuous/ discontinuous and differentiable/not differentiable.

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