The graph of f' on the interval [-3,2] is shown in the figure. <IMAGE>


c. At what point(s) does f have an inflection point?

Verified step by step guidance

1. Identify the critical points of f' by finding where f' changes from increasing to decreasing or vice versa on the interval [-3, 2]. This typically occurs at points where f' is zero or undefined.
2. Determine the intervals where f' is increasing or decreasing by analyzing the sign of f' around the critical points identified in step 1.
3. Recognize that an inflection point of f occurs where the concavity of f changes, which corresponds to a change in the sign of f'.
4. Check the values of f' at the critical points to see if there is a sign change in f' around those points.
5. Conclude the points where f has inflection points based on the identified critical points and the sign changes of f'.