Use the graph below to answer the question that follows:

graph of curve that passes through the following points, 0, 5; pi over 2, 2; pi, negative 1; 3 pi over 2, 2; 2 pi, 5.

what is the rate of change between the interval x = π and x = three pi over two?

The graph of the function is shown below

The average rate of change between π and 3π/2 is shown as a straight line and the steepness of the slope is the changing rate

We use the following formula to find the level of steepness of the line

gradient = vertical distance ÷ horizontal distance
gradient = (2 - -1) ÷ (π - 3π/2)
gradient = 3 ÷ (π/2)
gradient = 6/π

Hence, the rate of change of the function between π and 3π/2 is 6/π