Question

What is the rate of change from x = 0 to x = pi over 2 ? (6 points) trig graph with points at (0, -4) and (pi over 2, 0) and (pi, 4) and (3 pi over 2, 0) and (2 pi, -4)

Answer 1

Answer:
`(8)/(\pi)` .

Explanation:

We know that the rate of change of function f(x) from x=a to x= b is given by :-

`k=(f(b)-f(a))/(b-a)`

The given points on graph : (0, -4) and (pi over 2, 0) and (pi, 4) and (3 pi over 2, 0) and (2 pi, -4).

The rate of change from x = 0 to x = pi over 2 will be :-

`(0-(-4))/((\pi)/(2)-0)=(4)/((\pi)/(2))` [By using points (0, -4) and (pi over 2, 0) ]

`=(8)/(\pi)`

Hence, the rate of change from x = 0 to x = pi over 2 is
`(8)/(\pi)` .