Question

score on last try: 0.67 of 1 pts. see details for more. get a similar question you can retry this question below select all the points at which the graph above is not differentiable -4 -3 -2 -1 0 1 2 3 4

Explanation:

Step1: Recall non - differentiability conditions

A function is not differentiable at a point if there is a corner, cusp, vertical tangent, or discontinuity at that point on the graph.

Step2: Analyze the graph at \(x=-2\)

There is a corner at \(x = - 2\), so the function is not differentiable here.

Step3: Analyze the graph at \(x = 0\)

There is a discontinuity (a hole) at \(x=0\), so the function is not differentiable here.

Step4: Analyze the graph at \(x = 3\)

There is a cusp at \(x = 3\), so the function is not differentiable here.

Answer:

-2, 0, 3