# How do you find the absolute extreme values of a function on an interval?

Step 1

Step 2

Step 3

Hence,

#{("Absolute Maximum: " f(1)=4), ("Absolute Minimum: " f(-1)=-16):}#

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To find the absolute extreme values of a function on an interval, follow these steps:

- Determine the critical points of the function within the given interval by finding where the derivative of the function is equal to zero or undefined.
- Evaluate the function at each critical point and at the endpoints of the interval.
- Compare the values obtained in step 2 to identify the absolute maximum and minimum values of the function on the given interval.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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