Question

HELPPPP!!!! I DONT UNDERSTAND

Answer 1

`g(-2)=0\\g(4)=-4`

Explanation:

The intervals at the right of each number indicate what values of
`x` you can put into the function
`g(x)`, and what answers they give.

So for
`g(-2)`, we look at where
`-2` fits in the intervals. It cannot be the top one, because it says that
`x` has to be less than
`-2` for that particular value.

However, on the next interval down, it says that
`-2` is less than or equal to
`x`, therefore
`-2` would be allowed here. Looking at the value this interval corresponds to, we see it is 0. Therefore,
`g(-2)=0`.

Looking at
`g(4)`, it definitely will not fit in the top interval, as 4 is not mentioned there at all. Looking at the next interval down, it says
`x` has to be less than 4, so we cannot use that. However, on the final interval, it says that 4 is less than or equal to
`x`, therefore it is allowed here. Looking at which value this interval corresponds to, we see it is -4. Therefore,
`g(4)=-4`.

Hope this helps.