Question

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?

Answer 1

Refer to the graph shown below

The average rate of change between the interval π and 3π/2 is shown as a straight line that indicates a positive change.

The formula for the steepness level of a slope is given by
gradient = vertical distance ÷ horizontal distance

We have:
Vertical distance = 2 - (-1) = 3 units
Horizontal distance = 3π/2 - π = π/2

Gradient  = 3÷(π/2) = 6/π =, which is the rate of change