Question

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Which intervals is this function graph decreasing? Select 2 answers. *
[ -5.5, -5]
[ -5, -4]
[ -3, 1]
[1,2]

Answer 1

2 Answers:

Choice B. [-5, -4]

Choice D. [1, 2]

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Step-by-step explanation:

We're looking for portions when the graph goes downhill when we move from left to right.

The first portion is from x = -5 to x = -4. So we write [-5, -4] which represents
`-5 \le x \le -4`

The second portion is [1, 2] which goes downhill since the interval starts at x = 1 and stops at x = 2.

The portions are highlighted in the diagram below.

As you can see, we only care about the x values for any given interval. The y values don't matter as long as they decrease along the interval.