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Georgia Southern University

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Problem 18

a. Find the open intervals on which the function is increasing and decreasing.

b. Identify the function's local and absolute extreme values, if any, saying where they occur.

Answer

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## Discussion

## Video Transcript

Okay, so let's find the intervals for dysfunction is increasing. Rechristen. Looking at this graph, it looks like we're increasing from negative for two. Say, about negative two point five and then from negative one toe one and then from three to four and then decreasing. Ninety. Just two point five two. Thank you. One and then from one, two, three. Okay. And then where do we have a look, Max? We definitely have aligned. And negative two point five one. We have a local max of one at X equals negative two point five. We don't have one at one because we're smaller than one to the left of X equals one and larger than run to the right. So I think that's the only local Max you could you could consider X equal for a local max if you want to. That's just I upset you. And so for the local men, same thing. We don't have one and negative one. It's not larger. The function is not larger. Justo left a negative one, and just to the right of Warren told me to the right of one that the function is larger, but we have definitely have one at three. What? And that looks like it's it

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