Least to greatest value based on average rate of change over the given interval?

Step 1: Plug in each value for x to find the y variable.

Example: f(x)= 2x+11

The intervals are (2,7)

f(x)= 2(2)+11
f(x)= 4+11
F(x)= 16

y can be substituted for f(x), so when x = 2, y= 16. -> (2, 16)

Do the same for the second number:
f(x)= 2(7) + 11
f(x)= 14+11
f(x)= 25

so when x = 7, y= 25 -> (7, 25)

Plug that into the rate of change (i.e. slope) formula: m= (y2- y1)/(x2- x1)

Our pairs are (2, 16) and (7, 25)
                       (x1, y1)        (x2 ,y2)

(25-16)/ (7-2)

9/5, or 1  and 4/5, is the slope. Do the same thing for the other pairs, and then order the slope from least to greatest. :)