Question

Please help me ASAP

Answer 1

To have a constant rate of change, the function has to be a linear function of type y = mx+b.

The only function that has this form is f(x) = x/2+1, where the rate of change is m=1/2 and is constant for all values of x.

We can calculate the rate of change as:

`(f(x_2)-f(x_1))/(x_2-x_1)`

If we replace f(x2) and f(x1) we get:

Answer: f(x) = x/2 + 1