Questions: The function graphed above is: Increasing on the interval(s) Decreasing on the interval(s)

The function graphed above is:

Increasing on the interval(s) 

Decreasing on the interval(s)
Transcript text: The function graphed above is: Increasing on the interval(s) $\square$ Decreasing on the interval(s) $\square$
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Solution

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The function graphed above is:

Increasing on the interval(s) $\square$

Decreasing on the interval(s) $\square$

Find the intervals where the function is increasing.

The function is increasing where the graph goes up from left to right. This occurs in the interval from \(x = -2\) to \(x=1\). So the function is increasing on the interval \((-2, 1)\).

Find the intervals where the function is decreasing.

The function is decreasing where the graph goes down from left to right. This occurs in the intervals from \(x = -\infty\) to \(x=-2\) and from \(x=1\) to \(x=\infty\). So the function is decreasing on the intervals \((-\infty, -2)\) and \((1, \infty)\).

Increasing on the interval(s) \(\boxed{(-2, 1)}\)

Decreasing on the interval(s) \(\boxed{(-\infty, -2) \cup (1, \infty)}\)

Increasing on the interval(s) \((-2, 1)\) Decreasing on the interval(s) \((-\infty, -2) \cup (1, \infty)\)

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