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

Respuesta :

We are given points on trig graph as

[tex](0,-4)[/tex]

[tex](\frac{\pi}{2} ,0)[/tex]

[tex](\pi ,4)[/tex]

[tex](\frac{3\pi}{2} ,0)[/tex]

[tex](2\pi ,-4)[/tex]

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

so, we will select two points

[tex](\pi ,4)[/tex]  and [tex](2\pi ,-4)[/tex]

we can also write as

[tex]a=\pi , f(a)=4[/tex]

[tex]b=2\pi , f(b)=-4[/tex]

now, we can use average rate of change formula

[tex]A=\frac{f(b)-f(a)}{b-a}[/tex]

now, we can plug values

and we get

[tex]A=\frac{-4-4}{2\pi -\pi}[/tex]

[tex]A=\frac{-8}{\pi }[/tex]

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

Answer:

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

Step-by-step explanation: