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.

Explanation:

Given function is in the form of

$y=a\sin bx$

Here the amplitude is

$=|a|$

Period

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

Now consider the given function

$y=2\sin3x$

Here the amplitude is

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

And period is

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

Final Answer:

The amplitude is 2 and the period is

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