Question

Arrange these functions from the greatest to the least value based on the average rate of change in the specific interval

Answer 1

The average r. of c. of a function f(x) on an interval [a,b] is:

  f(b) - f(a)
--------------
    b-a

You'll need to apply this to all four of the given functions.

First function:  f(x) = x^2 + 3x
a= -2; b= 3

Then the ave. r. of c. for this function on this interval is:

    18  - (-2)            20
------------------ = ---------- = 4.  y increases by 4 for every unit increase in x.
      3-(-2)                5

Do the same thing for the other 3 functions.

Then arrange your four results in descending order (greatest to least).