## tatumlee one year ago find the range of the function f(x)=4x-1 for the domain {-1,0,1,2,3} how do I do this?

1. zepdrix

You plug the domain values into the function, one at a time, and your result is included in the range. Example, here is the first one:$\large\rm f(-1)=4(-1)-1$$\large\rm f(-1)=-5$So our range looks like this so far: $$\large\rm\{-5,~~,~~,~~,~~\}$$ Where the domain value of -1 corresponds to the range value of -5. Make sense? :o

2. tatumlee

so would the next one be 3?

3. zepdrix

For the domain value x=0, Hmm no we don't get 3 for the range. Did you mean the one after that? :o

4. tatumlee

Yes I did, was there more solving to do on the other one?

5. zepdrix

No, you just skipped a number :) I did -1, 0 comes after that, then 1, <- this is the one you did then 2, then 3

6. tatumlee

I thought I was doing the one for 0, I don't know how it became the next ones answer

7. zepdrix

Oh you thought you were doing 0? Ok maybe a little math error then :) let's check.$\large\rm f(0)=4(0)-1$4 times 0, is 0,$\large\rm f(0)=0-1$So that's not giving us 3, right? :)

8. tatumlee

I think I might have subtracted 1 from 4 when I was supposed to multiply 4 by 0

9. zepdrix

So what do you get for that next one? :)

10. zepdrix

Looks like -1, ya? 0-1 = -1 $\large\rm\{-5,-1,~~,~~,~~\}$ How bout when you plug x=1 into the function?

11. tatumlee

this time it would be three because 1 x 4 is 4-1= 3

12. zepdrix

$\large\rm Range:\{-5,-1,~3,~~,~~\}$Ah there we go :)

13. zepdrix

Almost done ^^ Just a couple more!

14. tatumlee

7,11?

15. zepdrix

yay good job \c:/$\large\rm Range:\{-5,-1,~3,~7,11\}$

16. tatumlee

thank you!