the graph of f is given. state the numbers at which f is not differentiable. (enter your answers as a comma…

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.

Step2: Analyze the graph

At (x = 0), there is a cusp. The slope of the left - hand side and the right - hand side approach different infinite values as we approach (x = 0). At (x = 2), there is a corner. The left - hand derivative and the right - hand derivative are different. At (x = 4), there is a vertical tangent. The slope of the tangent line is infinite.

Answer:

0, 2, 4