Question

What is the rate of change from x = π to x = 2π? (6 points) 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

PLEASE HELP!!!!!!
a. 8 over pi
b. pi over 8
c. negative 8 over pi
d. negative pi over 8

Answer 1

-8 over pie is the answer i got it right on the test

Explanation:

Answer 2

We are given points on trig graph as

`(0,-4)`

`((\pi)/(2) ,0)`

`(\pi ,4)`

`((3\pi)/(2) ,0)`

`(2\pi ,-4)`

now, we can find rate of change from x = π to x = 2π

so, we will select two points

`(\pi ,4)` and
`(2\pi ,-4)`

we can also write as

`a=\pi , f(a)=4`

`b=2\pi , f(b)=-4`

now, we can use average rate of change formula

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

now, we can plug values

and we get

`A=(-4-4)/(2\pi -\pi)`

`A=(-8)/(\pi )`

so, option-C.............Answer