Answer :
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
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
