Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.7: Functions
Problem 60PFA
Related questions
Question
![### Introduction to Functions
#### Find the Domain and Range
Given the relation:
\[
\{(-3, 1), (0, 4), (-1, 0), (0, 0), (2, 2)\}
\]
Select one of the following options for the domain and range of the relation:
A. Domain = \(\{0, 1, 2, 4\}\) and Range = \(\{-3, -1, 0, 2\}\)
B. Domain = \(\{-3, -1, 2\}\) and Range = \(\{1, 2, 4\}\)
C. Domain = \(\{0, 2\}\) and Range = \(\{1, 2, 4\}\)
D. Domain = \(\{-3, -1, 0, 2\}\) and Range = \(\{0, 1, 2, 4\}\)
E. Domain = \(\{1, 2, 4\}\) and Range = \(\{-3, -1, 2\}\)
#### Explanation
1. **Domain**:
- The domain of a relation is the set of all possible input values (x-values).
- From the given pairs, the x-values are \(-3, 0, -1, 0, 2\).
- Removing duplicates, the domain is \(\{-3, 0, -1, 2\}\).
2. **Range**:
- The range of a relation is the set of all possible output values (y-values).
- From the given pairs, the y-values are \(1, 4, 0, 0, 2\).
- Removing duplicates, the range is \(\{1, 4, 0, 2\}\).
Given the options, the correct answer is:
- D. Domain = \(\{-3, -1, 0, 2\}\) and Range = \(\{0, 1, 2, 4\}\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcbdbdb0e-ffa7-4a7f-a16d-cbd5f72e5119%2Ff5bdc770-c5f8-441c-9195-96b42d348a4f%2Futeyn6p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Introduction to Functions
#### Find the Domain and Range
Given the relation:
\[
\{(-3, 1), (0, 4), (-1, 0), (0, 0), (2, 2)\}
\]
Select one of the following options for the domain and range of the relation:
A. Domain = \(\{0, 1, 2, 4\}\) and Range = \(\{-3, -1, 0, 2\}\)
B. Domain = \(\{-3, -1, 2\}\) and Range = \(\{1, 2, 4\}\)
C. Domain = \(\{0, 2\}\) and Range = \(\{1, 2, 4\}\)
D. Domain = \(\{-3, -1, 0, 2\}\) and Range = \(\{0, 1, 2, 4\}\)
E. Domain = \(\{1, 2, 4\}\) and Range = \(\{-3, -1, 2\}\)
#### Explanation
1. **Domain**:
- The domain of a relation is the set of all possible input values (x-values).
- From the given pairs, the x-values are \(-3, 0, -1, 0, 2\).
- Removing duplicates, the domain is \(\{-3, 0, -1, 2\}\).
2. **Range**:
- The range of a relation is the set of all possible output values (y-values).
- From the given pairs, the y-values are \(1, 4, 0, 0, 2\).
- Removing duplicates, the range is \(\{1, 4, 0, 2\}\).
Given the options, the correct answer is:
- D. Domain = \(\{-3, -1, 0, 2\}\) and Range = \(\{0, 1, 2, 4\}\).
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