Question

What is the frequency of the function f(x)?
Express the answer in fraction form.

Answer 1

1/8pi

Explanation:

I took the test k-12

Answer 2

Frequency = 1/period =
`(1)/(8\pi )`

Explanation:

The frequency of the sinusoidal function = 1/period

Frequency is how many the function repeats itself per unit if time i.e: per "1"

For the given graph :

`(x)/(4) =Bx` , Where: B = 2π/period

period = 2π/B , B = 1/4 = 0.25

∴ Period = 2π/0.25 = 8π

∴ Frequency = 1/period =
`(1)/(8\pi )`