Chapter 7.1, Problem 1AYU

What is the domain and the range of $y=\text{ sin}x$? (p. 395)

To determine

The domain and the range of the function $y = \text{sin}x$.

Answer to Problem 1AYU

Domain of $y = \text{sin}x$: All real numbers.

Range of $y = \text{sin}x$: All real numbers between $-1$ and 1, inclusive.

Explanation of Solution

Given:

The function $y = \text{sin}x$.

Calculation:

$y = \text{sin}x$	Symbol	Domain	Range
sine	$Y = \text{sin}x$	All real numbers	All real numbers from $-1$ to $+1$, inclusive or interval notation: $-1 \le y \le 1$