Question

(1Q) Find a function for the graph below

Answer 1

C.

`f(t) = - 3 \sin(3t)`

Step-by-step explanation

The given function has range:

-3≤f(t)≤3

This implies that, the amplitude is

`|a| = 3`

The function is symmetric with respect to the origin so this is a sine function.

This function is again reflected in the x-axis, hence

a=-3.

The period of this function is

`(2\pi)/(b) = (2\pi)/(3)`

This implies that, b=3,

hence the equation of the function is

`f(t) = - 3 \sin(3t)`