Instructions: drag each tile to the correct box. the function f(x) is represented by this table of values. x f(x) -5 35 -4 24 -3 15 -2 8 -1 3 0 0 1 -1 match the average rates of change of f(x) to the corresponding intervals. tiles -3 -8 -7 -4 pairs [-5, -1] [-4, -1] [-3, 1] [-2, 1]

The average rate of change of a function, f(x), over a given interval [a, b] is given by:

Average rate of change = 

Given a table of value for the function f(x) for given x values.

Part 1:

The average rate of change of f(x) over the interval [-5, -1] is given by .

From the given table, f(-1) = 3 and f(-5) = 35.

Thus, we have

Part 2:

The average rate of change of f(x) over the interval [-4, -1] is given by .

From the given table, f(-1) = 3 and f(-4) = 24.

Thus, we have

Part 3:

The average rate of change of f(x) over the interval [-3, 1] is given by .

From the given table, f(1) = -1 and f(-3) = 15.

Thus, we have

Part 4:

The average rate of change of f(x) over the interval [-2, 1] is given by .

From the given table, f(1) = -1 and f(-2) = 8.

Thus, we have