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Answer :

Given:

The graph of the function is given.

To find:

The local maximum and a local minimum of the function.

Explanation:

We know that,

The local minimum is a point within an interval at which the function has a minimum value.

So, the local minimum point is,

[tex](0,1)[/tex]

The local maximum is a point within an interval at which the function has a maximum value.

So, the local maximum point is,

[tex](-3,4)[/tex]

Final answer:

The local minimum point is,

[tex](0,1)[/tex]

The local maximum point is,

[tex](-3,4)[/tex]