Question

Find the period and amplitude for f(x)= 2sin(3x)

Answer 1

Given:

`f(x)=2\sin(3x)`

Required:

To find the period and amplitude of the given function.

Step-by-step explanation:

Given function is in the form of

`y=a\sin bx`

Here the amplitude is

`=|a|`

Period

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

Now consider the given function

`y=2\sin3x`

Here the amplitude is

`\begin{gathered} =|2| \\ =2 \end{gathered}`

And period is

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

Final Answer:

The amplitude is 2 and the period is

`(2\pi)/(3)`