Question

The function f(x) is represented by this table of values.
x       f(x)
-5     28
-3     12
-1       4
 0       3
 1       4
 3     12
 5 28

Match the average rates of change of f(x) with the corresponding intervals.

Tiles
-2
 5
 2
 0

Pairs
[0, 5]

[-3, 3]

[-5, 3]

[-3, 5]

Answer 1

The average slope (s) on the interval [a, b] is given by
  s = (f(b) -f(a))/(b -a)

When there are a lot of computations to do, it is convenient to let a machine do them. The intervals and slopes are ...
  [0, 5] : 5
  [-3, 3] : 0
  [-5, 3] : -2
  [-3, 5] : 2