Question

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

Answer 1

1.5 or 1

Explanation:

its simple

x f(x)

-3 -1.5

-2 -1

-1 -0.5

0 0

1 0.5

2 1

3 1.5

using this you can calculate the answer to 1 or for some people 1.5

i accidently put 1 star :(

Answer 2

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