The graph of a function t is given. Use the graph to answer the question.

Find the numbers, if any, at which $f$ has a local minimum. What are the local maxima?

A$.f$ has a local minimum at $x=-2\mathrm{.}5$ and $5$ ; the local minimum at $-2\mathrm{.}5$ is $-3\mathrm{.}3$ ; the local minimum at $5$ is $-2\mathrm{.}5$

B$.f$ has a local minimum at $x=-3\mathrm{.}3$ and $-2\mathrm{.}5$ ; the local minimum at $-3\mathrm{.}3$ is $-2\mathrm{.}5$ ; the local minimum at $-2\mathrm{.}5$ is $5$

C$.f$ has a local maximum at $x=-2\mathrm{.}5$ and $5$ ; the local maximum at $-2\mathrm{.}5$ is $-3\mathrm{.}3$ ; the local maximum at $5$ is $-2\mathrm{.}5$

D$.f$ has a local maximum at $x=-3\mathrm{.}3$ and $-2\mathrm{.}5$ ; the local maximum at $-3\mathrm{.}3$ is $-2\mathrm{.}5$ ; the local maximum at $-2\mathrm{.}5$ is $5$