Question

Find the functional values.. (equation attached)

Answer 1

OK,, let's try the first one. Which condition does it fall under?

Answer 2

The first number is -5. Which of the conditions is true -- x <= 1, or x > 1?

Answer 3

hello?

Answer 4

is it x< =1?

Answer 5

yep. So now you know which of the two parts of the function you're supposed to use -- |x-5|. Can you try plugging -5 into that? What do you get?

Answer 6

|-5-5|?

Answer 7

so f(-5)= |-5-5|

Answer 8

you're on the right track. But you can simplify |-5-5|. First take -5 and subtract 5, what do you get?

Answer 9

-10?

Answer 10

yes! Now what's | -10 | ? Remember that || is "absolute value".

Answer 11

It's 10 since anything inside || is the opposite of the number

Answer 12

Anything inside || is the positive version of the number -- |-10| is 10, but |10| is also 10. But, you're right, f(-5) is 10! We did it!

Answer 13

Now let's try the second one. Remember, the first step is to figure out which of the two parts of f(x) you're supposed to use. So, let's do that for 1. Which part should we use?

Answer 14

the first one, >1 because it's equal to 1

Answer 15

Right, the top one ("x <= 1"), so now what happens when you substitute 1 into |x-5|?

Answer 16

|1-5|

Answer 17

so |-4|?

Answer 18

one more step and you've got it!

Answer 19

so f(1) = 4?

Answer 20

yes!! I'm proud of you :-). Now let's do the last one, f(3). What do we do first?

Answer 21

3>1 so we'd use the second equation

Answer 22

F(3)={1/3+1

Answer 23

yes, you're on the right track! now what?

Answer 24

so it's 1/4

Answer 25

YES! look at that, we did the entire problem!

Answer 26

well, you did it, mostly, I just helped a little.

Answer 27

thank you:D

Answer 28

You should be proud, I think you're the only person on here today who actually wants to learn. Everyone else is just cheating to get answers.

Answer 29

Could you help me with the last question I posted before this one?

Answer 30

ok