Homework Help is Here – Start Your Trial Now!
Math
Algebra
PEARSON

PEARSON

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
What is the domain and range
### Domain and Range of a Function This image illustrates the domain and range of a function using a graph. Below is a detailed explanation of the graph presented. #### Graph Description 1. **Axes**: - The horizontal axis (x-axis) ranges from -9 to 9. - The vertical axis (y-axis) ranges from -9 to 9. 2. **Function Representation**: - The graph displays a continuous function with two distinct parts: - A line with a negative slope on the left side of the y-axis that extends from the point (-4, 1) downwards through the origin and continues indefinitely towards (-∞,-∞). - A line with a positive slope on the right side of the y-axis starting from the point (1, -3) upwards, continuing indefinitely towards (∞,∞). 3. **Key Points**: - An important aspect of the graph is that the function is divided into two sections, one in the negative and the other in the positive x-axis territory. 4. **Visual Elements**: - Arrows at the endpoints of each part of the function indicate that the function continues indefinitely in those directions. This graph helps illustrate the concept of the domain and range for a given function, providing a visual aid to understand which x-values (domain) and y-values (range) are covered by the function. The continuous nature of the lines suggests that all real numbers within the specified range are included in both the domain and range of this function. #### Interactive Elements On the left side of the graph, there are controls provided for educational interaction: - There is a slider to adjust and visualize the function, along with some instructional text guiding users on how to manipulate the graph for a better understanding of the domain and range concepts.
Transcribed Image Text:### Domain and Range of a Function This image illustrates the domain and range of a function using a graph. Below is a detailed explanation of the graph presented. #### Graph Description 1. **Axes**: - The horizontal axis (x-axis) ranges from -9 to 9. - The vertical axis (y-axis) ranges from -9 to 9. 2. **Function Representation**: - The graph displays a continuous function with two distinct parts: - A line with a negative slope on the left side of the y-axis that extends from the point (-4, 1) downwards through the origin and continues indefinitely towards (-∞,-∞). - A line with a positive slope on the right side of the y-axis starting from the point (1, -3) upwards, continuing indefinitely towards (∞,∞). 3. **Key Points**: - An important aspect of the graph is that the function is divided into two sections, one in the negative and the other in the positive x-axis territory. 4. **Visual Elements**: - Arrows at the endpoints of each part of the function indicate that the function continues indefinitely in those directions. This graph helps illustrate the concept of the domain and range for a given function, providing a visual aid to understand which x-values (domain) and y-values (range) are covered by the function. The continuous nature of the lines suggests that all real numbers within the specified range are included in both the domain and range of this function. #### Interactive Elements On the left side of the graph, there are controls provided for educational interaction: - There is a slider to adjust and visualize the function, along with some instructional text guiding users on how to manipulate the graph for a better understanding of the domain and range concepts.
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Functions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
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