Question

(1Q) Find a function for the graph below

Answer 1

ANSWER

C.

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

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

$\frac{2\pi}{b} = \frac{2\pi}{3}$

This implies that, b=3,

hence the equation of the function is

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