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What is the rate of change from x = 0 to x = pi over 2?

trig graph with points at 0, negative 4 and pi over 2, 0 and pi, 4 and 3 pi over 2, 0 and 2 pi, negative 4

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wegnerkolmp2741o

Answer:

8/pi

Step-by-step explanation:

To find the rate of change from 0 to pi/2  we need the values at 0 and pi/2

f(0) = -4

f(pi/2) = 0


rate of change = change in f(x)/ change in x

                        = (f(x2) -f(x1))/( x2-x1)

                        = (0--4) / (pi/2 - 0)

                         = (0+4) / (pi/2)

                        = 4 / (pi/2)

                          = 8/pi

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