Question

The table shows input and output values for a liner function f(x). What is the positive difference of outputs for any two outputs that are two values apart? H E L P. 10 Points award!!

Answer 1

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/2A 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= 1.5The answer would be: 1.5