Question

The function f(x) is represented by this table of values .Match average rate of change of f(x) with corresponding intervals

Answer 1

Note:
If fx(x) changes from f(x₁) to f(x₂), the rate of change is
Rate = [f(x₂) - f(x₁)]/(x₂ - x₁)

From the table, we can compute rates of change as follows:
Change in x  Change in f(x)   Change in x    Rate
-----------------   --------------------   -----------------  ---------
    [-4,-2]          0 - (-12) = 12      0 - (-2) = 2        6
    [-2, 1]           3 - 0 = 3            1 - (-2) = 3         1
    [-3, 1]           3 - (-5) = 8         1 - (-3) = 4         2
    [-4, 0]          4 - (-12) = 16      0 - (-4) = 4        4