Question

Write a function rule for the table

A) f(x)=-2x

B) f(x)=x-2

C) f(x)=x+2

D)f(x)=2x

Answer 1

D.

Explanation:

Recall the slope is change of y over change of x which in this case the change in x is 1 while the change in y is 2 since the
`y`'s are going up by 2 while the
`x`'s are going up by 1.

So the slope is 2.

The one equation with slope 2 is D.

The answer is most likely D.

Let's check.

`f(x)=2x`

`y=2x`

`y=2(-3)=-6` while
`x=-3`.

`y=2(-2)=-4` while
`x=-2`.

`y=2(-1)=-2` while
`x=-1`.

`y=2(0)=0` while
`x=0`.

Also notice the
`x` is doubled (multiplied by 2) to get
`y`.