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)

Question

asked Aug 25, 2021 201k views

1 Answer

Drewdavid · Answer 1 · 2021-08-30T17:06:22+0000

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
$(8)/(\pi)$ .