This table shows input and output values for a linear function f (x).

What is the positive difference of outputs for any two inputs that are three values apart?

Enter your answer in the box.

x f (x)

-3 - 1.5

-2 - 1

-1 - 0.5

0 0

1 0.5

2 1

3 1.5

If you observer the value of x=0 and x=1, you can conclude that every 1 value of x increased, the f (x) will be increased by 0.5. The graph function should be:

f (x) = x/2

A positive difference means that the value should be always positive. To find 3 the positive difference of f (x) with 3 values of x apart, let use x=0 and x=0+3 = 3. The difference would be:

f (x+3) - f (x)

f (3) - f (0) =

1.5 - 0 = 1.5

The answer would be: 1.5