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Describing Key Features of Functions

Describing Key Features of Functions 1.3 - Solution

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To determine which of the sentences that best describes the end behavior, let's look at what's happening at the maximum and minimum visible What is the end behavior of the graph when is increasing?

We can see that as increases from left to right, is decreasing at the ends of the graph. Now, what is the end behavior of the graph when is decreasing?

As decreases, is increasing at the ends of the graph. Therefore, the third sentence correctly describes the end behavior of the given graph. Please note that although there is a portion of the graph where increases as increases, this is the middle portion of the graph and therefore is not included in a description of end behavior.