Question

Find the function rule! I'll give a medal/fan!!!!




x: -2, -1, 0, 1, 2
y: 9, 4, -1, -6, -11

Answer 1

Take your time.

Answer 2

Paper an pencil helps

Answer 3

Is the slope constant?

Answer 4

Don't know, all it says is "Find the function"

And then it gives me the numbers... That's it

Answer 5

It's a line dude.

Answer 6

Ok

Answer 7

When x goes up by one, how much does y change by?

Answer 8

It goes down by 5

Answer 9

slope is therefore -5

Answer 10

use \(y=mx+b\)

Answer 11

Now we know m=-5

Answer 12

So the function is???

Answer 13

?

Answer 14

All I know is x goes up by 1 every time and Y goes down 5.

Answer 15

Help??????????????????????????????????????????????!!!!

Answer 16

Ummm
What else do you know?

Answer 17

do you know the equation for a line?

Answer 18

Not that far in math..

Answer 19

Ok, here is the rule then: \[
f(x+1) = f(x) - 5
\]

Answer 20

I got to go :/

Ill give you the fan/ medal anyways

Thanks

Answer 21

Then we say: \[
f(x+n) = f(x) -\underbrace{ 5 - 5 - \ldots -5}_n = f(x) - 5n
\]

Answer 22

If we let \(x=0\), then: \[
f(n) = f(0) - 5n
\]

Answer 23

Also, when \(x=0\), then \(y = f(x) = f(0) =-1\).

Answer 24

So \[
f(n) = -1-5n
\]