Question

Which function rule represents the data in the table?
x|-3|-2|-1|0|1

y|-1|2|5|8|11

The answer choices are
1. y=-3x-8
2. y= 1/3x-8
3. y= 1/3x+8
4. y= 3x+8

Please state the answer and how you got it. I want to be able to do this on my own in the future. Thanks. Also, I chose D(4).

Answer 1

note that as x changes by 1, y changes by 3

So, start with y=3x

But, y(0) = 8, so use y=3x+8

check to be sure it fits all the pairs. It does.