Question

Is there a local minimum at x= -4?
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Answer 1

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Answer:

yes

Explanation:

Yes, the turning point at (-4, -16) is a local minimum. It is a minimum because the curve goes upward either side of it. It is local (not global) because the curve has values that are lower than -16 at other values of x.

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Similarly, the point (4, 16) is a local maximum.