Question

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

Short answer

$$\begin{gathered} Domain:(-\infty ,+\infty ) \\ Range:[-1,1] \end{gathered}$$

Step-by-step solution

Step 1. Given Information:

Given function : y = sin x

We want to know what is the domain and the range of y.

Step 2. Domain of Function:

The sine function is defined for any angle measure so the domain of the function y = sin x is all real numbers: $(-\infty ,+\infty )$

Hence,$-\infty <x<+\infty$

Step 3. Range of Function:

The range of y-axis function is a bounded interval given by the maximum output of the function which is equal to 1 and the minimum output which is equal to - 1: $[-1,1]$

Hence,$-1\le y\le 1$