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Chapter 7: Q. 1 (page 450)

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

Short Answer

Expert verified

Domain:(-鈭�,+鈭�)Range:[-1,1]

Step by step solution

01

Step 1. Given Information:

Given function : y = sin x

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

02

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: (-鈭�,+鈭�)

Hence,-鈭�<x<+鈭�

03

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鈮�y鈮�1

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