Question

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

Answer 1

8/pi

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