# What is the domain and range of y = sin x?

Jan 17, 2016

Domain: $\left(- \infty , + \infty\right)$
Range: $\left[- 1 , + 1\right]$

#### Explanation:

The sine function has no domain restrictions. That means that the domain is $\left(- \infty , + \infty\right)$.

However, the range of a since function is restricted as such: $\left[- 1 , + 1\right]$.

The graph:

graph{sinx [-7.023, 7.024, -3.51, 3.513]}