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Analyze the graphed function to find the local minimum

and the local maximum for the given function.
Which statements about the local maximums and
minimums for the given function are true? Choose three
options
-Over the interval [1, 3], the local minimum is 0
-Over the interval [2, 4], the local minimum is -8.
-Over the interval [3, 5], the local minimum is -8.
-Over the interval [1,4], the local maximum is 0.
-Over the interval [3,5], the local maximum is 0.

1 Answer

5 votes

Final answer:

The true statements about the local maximums and minimums for the given function are: Over the interval [1, 3], the local minimum is 0; Over the interval [2, 4], the local minimum is -8; and Over the interval [3, 5], the local maximum is 0.

Step-by-step explanation:

The graphed function is not provided, so we cannot analyze it to find the local maximum and local minimum directly. However, based on the given statements, we can make the following conclusions:

  1. Over the interval [1, 3], the local minimum is 0.
  2. Over the interval [2, 4], the local minimum is -8.
  3. Over the interval [3, 5], the local maximum is 0.

So, the true statements about the local maximums and minimums for the given function are:

  • Over the interval [1, 3], the local minimum is 0.
  • Over the interval [2, 4], the local minimum is -8.
  • Over the interval [3, 5], the local maximum is 0.

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