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Evaluate the function for the indicated values of x.

Evaluate the function for the indicated values of x.-example-1

2 Answers

3 votes

Answer:

In the explanation:

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
-10 \le -5 so the first piece.


f(-10)=2(-10)+1=-20+1=-19.

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
-5<2<5 so the second piece.


f(2)=(-2)^2=4.

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(-5)=2(-5)+1=-10+1=-9

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

-1 is between -5 and 5 so use
x^2


f(-1)=(-1)^2=1

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

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


f(8)=3-8=-5

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
-5<x<5 so we use the
x^2


f(-2)=(-2)^2=4

f(-6)?

x=-6 satisfies the
x \le -5 so we use the
2x+1


f(-6)=2(-6)+1=-12+1=-11

f(7)?

x=7 satisfies
x \ge 5 so we use
3-x


f(7)=3-7=-4

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

User SravanTG
by
6.5k points
2 votes

Answer:


f( - 10) = 2(-10)+1

which is then equal to-19


f(2)=2^2 \\

which is then equal to 4


f(-1)=1^2 \\

which is then equal to 1


f(8)=3-8 \\

which is then equal to -5

User LJ Replica
by
6.5k points