Evaluate the function for the indicated values of x.

In the explanation:

Step-by-step explanation:

f(-10) means we need to find the piece so that x is also satisfied.

So we have x=-10 here.  Which of your pieces satisfy that?

Well so the first piece.  

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f(2) means we find the piece so that x is also satisfied.

So we have x=2 here. Which of your pieces satisfy that?

Well so the second piece.

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f(-5) means we use the piece that satisfied x=-5.

-5 equals -5 and the equals -5 part is included in the first piece.

f(-1) means use the piece so that x=-1 is satisfied.

-1 is between -5 and 5 so use

f(8) means use the piece so that x=8 is satisfied.

9 is greater than 5 so we use the third piece.

It looks like you have all the answers and you are trying to figure out why.

Let's do another problem.

What piece would you use if I asked you to evaluate:

f(-2)?

x=-2 satisfies the so we use the

f(-6)?

x=-6 satisfies the so we use the

f(7)?

x=7 satisfies so we use

I will post the answers here after you had time to think about it.

b. astronomers

step-by-step explanation: