# Tocalculate : the domain and range of the function f = x + 3 . ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 2, Problem 13RE
To determine

## Tocalculate : the domain and range of the function f=x+3 .

Expert Solution

The domain of f is [3,) .

The range of f is [0,) .

### Explanation of Solution

Given information : The function f=x+3 is given.

Formula used : The domain of a function is the set of values that can be taken as x. The range of a function is the set of values that comes as answer to the domain.

Calculation :

To calculate the domain of f, find out the acceptable values of x.

The expression inside root cannot be negative,

x+30x3

Therefore the domain of f = [3,) .

To calculate the range of f, find out the possible answers of the function.

The function f cannot be negative value hence the range of f = [0,) .

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