The Graph of a Function F Is Given $\mathrm { f }$

Multiple Choice

The graph of a function f is given. Use the graph to answer the question.
-Find the numbers, if any, at which f has a local maximum. What are the local maxima?

A) $\mathrm { f }$ has a local maximum at $\mathrm { x } = - \pi$ and $\pi$ ; the local maximum is 2
B) f has no local maximum
C) $f$ has a local maximum at $x = 0$ ; the local maximum is $- 2$
D) $f$ has a local maximum at $- \pi$ ; the local maximum is 2