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 sharp corner, a cusp, a vertical tangent, or a discontinuity at that point.

Step2: Analyze point $x = - 2$

At $x=-2$, there is a sharp corner on the graph. So the function is not differentiable at $x = - 2$.

Step3: Analyze point $x = 0$

At $x = 0$, there is a discontinuity (a hole in the upper - part of the graph and a point below it). So the function is not differentiable at $x=0$.

Step4: Analyze point $x = 3$

At $x = 3$, there is a sharp corner on the graph. So the function is not differentiable at $x = 3$.

Answer:

-2, 0, 3