Question

Write a function rule for the table

Answer 1

Answer:

D.

Step-by-step 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 $y$.