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Can someone help me with this question

Can someone help me with this question-example-1

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Answer:

  • local minima: at x=-1, x=3
  • local minimum values: -2 and -1 (respectively)

Explanation:

A local minimum is where the curve stops going down and starts going up. It is the bottom of any U-shaped spot. Here, those are identified with dots at the coordinates (-1, -2) and (3, -1).

(a) the x-values at which f has a local minimum are -1 and 3.

(b) the local minimum values of f are -2 and -1 at those x-values.

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