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?

pi over six
six over pi
4 over pi
pi over 4

The coordinates of the endpoints of the range can be used to calculate the rate of change using the slope formula: m = dy / dx. The coordinates are (pi, -1) and (3pi/2, 2). So, dy = 3pi/2 - pi = pi/2 and dx = 2 - (-1) = 3. Therefore, m = pi/6.

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