Homework Help is Here – Start Your Trial Now!
Math
Algebra
The image displays a graph of the function \( f \). The task is to find the domain and range of \( f \) as intervals or unions of intervals. ### Graph Description: - The graph consists of two disjoint line segments. - The first segment is vertical and spans from approximately \( (x = -4, y = -3) \) to \( (x = -4, y = 5) \). - The endpoints of this segment at both ends are open circles, indicating these points are not included in the graph. - The second segment is horizontal and spans from approximately \( (x = 0, y = 1) \) to \( (x = 4, y = 2) \). - The endpoint at \( (x = 4, y = 2) \) is an open circle, indicating this point is not included. - The endpoint at \( (x = 0, y = 1) \) is a closed circle, indicating this point is included in the graph. ### Analysis: - **Domain**: The x-values in the graph include \( -4 \) (not included) and a range from \( 0 \) to \( 4 \) (not included in 4). - **Range**: The y-values include a vertical span from \( -3 \) (not included) to \( 5 \) (not included) and a horizontal span from \( 1 \) to \( 2 \) (not including 2). ### Intended Answers: - **Domain**: \((-4, -4) \cup [0, 4)\) - **Range**: \((-3, 5) \cup [1, 2)\)

The image displays a graph of the function \( f \). The task is to find the domain and range of \( f \) as intervals or unions of intervals. ### Graph Description: - The graph consists of two disjoint line segments. - The first segment is vertical and spans from approximately \( (x = -4, y = -3) \) to \( (x = -4, y = 5) \). - The endpoints of this segment at both ends are open circles, indicating these points are not included in the graph. - The second segment is horizontal and spans from approximately \( (x = 0, y = 1) \) to \( (x = 4, y = 2) \). - The endpoint at \( (x = 4, y = 2) \) is an open circle, indicating this point is not included. - The endpoint at \( (x = 0, y = 1) \) is a closed circle, indicating this point is included in the graph. ### Analysis: - **Domain**: The x-values in the graph include \( -4 \) (not included) and a range from \( 0 \) to \( 4 \) (not included in 4). - **Range**: The y-values include a vertical span from \( -3 \) (not included) to \( 5 \) (not included) and a horizontal span from \( 1 \) to \( 2 \) (not including 2). ### Intended Answers: - **Domain**: \((-4, -4) \cup [0, 4)\) - **Range**: \((-3, 5) \cup [1, 2)\)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
See similar textbooks
icon
Related questions
Question
100%
The image displays a graph of the function \( f \). The task is to find the domain and range of \( f \) as intervals or unions of intervals. ### Graph Description: - The graph consists of two disjoint line segments. - The first segment is vertical and spans from approximately \( (x = -4, y = -3) \) to \( (x = -4, y = 5) \). - The endpoints of this segment at both ends are open circles, indicating these points are not included in the graph. - The second segment is horizontal and spans from approximately \( (x = 0, y = 1) \) to \( (x = 4, y = 2) \). - The endpoint at \( (x = 4, y = 2) \) is an open circle, indicating this point is not included. - The endpoint at \( (x = 0, y = 1) \) is a closed circle, indicating this point is included in the graph. ### Analysis: - **Domain**: The x-values in the graph include \( -4 \) (not included) and a range from \( 0 \) to \( 4 \) (not included in 4). - **Range**: The y-values include a vertical span from \( -3 \) (not included) to \( 5 \) (not included) and a horizontal span from \( 1 \) to \( 2 \) (not including 2). ### Intended Answers: - **Domain**: \((-4, -4) \cup [0, 4)\) - **Range**: \((-3, 5) \cup [1, 2)\)
Transcribed Image Text:The image displays a graph of the function \( f \). The task is to find the domain and range of \( f \) as intervals or unions of intervals. ### Graph Description: - The graph consists of two disjoint line segments. - The first segment is vertical and spans from approximately \( (x = -4, y = -3) \) to \( (x = -4, y = 5) \). - The endpoints of this segment at both ends are open circles, indicating these points are not included in the graph. - The second segment is horizontal and spans from approximately \( (x = 0, y = 1) \) to \( (x = 4, y = 2) \). - The endpoint at \( (x = 4, y = 2) \) is an open circle, indicating this point is not included. - The endpoint at \( (x = 0, y = 1) \) is a closed circle, indicating this point is included in the graph. ### Analysis: - **Domain**: The x-values in the graph include \( -4 \) (not included) and a range from \( 0 \) to \( 4 \) (not included in 4). - **Range**: The y-values include a vertical span from \( -3 \) (not included) to \( 5 \) (not included) and a horizontal span from \( 1 \) to \( 2 \) (not including 2). ### Intended Answers: - **Domain**: \((-4, -4) \cup [0, 4)\) - **Range**: \((-3, 5) \cup [1, 2)\)
Expert Solution
Step 1

x goes from -2 to -1 (excluded) and from 1 to 5 (excluded)

So the domain is = (-2,-1) U (1,5)

 

y goes from -5 to -4 and from -3 to 4.

So the range is = (-5,-4) U (-3,4)

 

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS