# Concavity & inflection points challenge

Review your understanding of concavity and inflection points with some challenge problems.

### Problem

The function space, f, space (not shown) is continuous and differentiable for all real numbers. The graphs of space, f, space, prime, space and space, f, space, start superscript, prime, prime, end superscript, space are shown.
Which of the following statements best describes what is happening on the graph of space, f, space at space, x, equals, minus, 2, space?
space
Please choose from one of the following options.