Question

Find a function for the graph below.

Answer 1

C

Explanation:

From the graph you can see that y changes from -2 to 2, so the range of the function is
`[-2,2].`

Since the range of the functions
`y=\cos x` and
`y=\sin x` is
`[-1,1]` and the range of the functions
`y=k\cos x` and
`y=k\sin x` is
`[-k,k],` we can state that the correct option is C:
`f(t)=-2\cos 3t.`

Check the value at t=0:

`f(0)=-2\cos 3\cdot 0=-2\cos 0=-2.`