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Select all the intervals where f is decreasingA: -4.5 < x < -4B: -0.5 < x < 0C: 1 < x < 2D: none of the above

Select all the intervals where f is decreasingA: -4.5 < x < -4B: -0.5 < x-example-1
User Kguest
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The intervals where f is decreasing can be found by looking at the graph for the values of x where x increases and f decreases.

Looking at the graph, the first interval where the function is decreasing is between -3.5 and -1, so we have -3.5 < x < -1.

Then, the second interval where the function is decreasing starts approximately at x = 2.2, and goes towards positive infinity, so we have x > 2.2.

Looking at the options, we have:

-4.5 < x < -4

In this interval the function is increasing.

-0.5 < x < 0

In this interval the function is increasing.

1 < x < 2

In this interval the function is increasing.

Therefore the correct option is D.

User Kiranbkrishna
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