Question

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

Answer 1

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

Answer 2

so would the next one be 3?

Answer 3

For the domain value x=0,
Hmm no we don't get 3 for the range.

Did you mean the one after that? :o

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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? :)

Answer 8

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

Answer 9

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

Answer 10

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

Answer 11

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

Answer 12

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

Answer 13

Almost done ^^
Just a couple more!

Answer 14

7,11?

Answer 15

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

Answer 16

thank you!