# How do you find the domain and range of #y=-3sin(1/2)x#?

##### 1 Answer

Jun 2, 2018

Domain: all reals x

Range:

#### Explanation:

The amplitude is 3

The period (T) =

Now you can graph the equation like below.

graph{-3sin(x/2) [-10, 10, -5, 5]}

You will notice then that:

Domain: all reals x

Range:

For the range, a tip is that for the range of the sine or cosine function, the range is always between the positive and negative amplitude.