Answer:
The average r. of c. for the given fn. on [-1, 4] is -2.
Explanation:
The graph of this function tells us that it's a linear function. The rate of change of a linear function is constant and is equal to the slope of the line. So we need to determine the slope from the graph:
As we move from (0, 3) to (2, -1) x increases by 2 and y decreases by 4. Thus, the slope is m = rise / run = -4/2, or -2. The slope is m = -2. This is also the rate of change of this function for any interval, including the interval [-1, 4].