Homework Help is Here – Start Your Trial Now!
Math
Algebra
Evaluate f(-3) where f(x) is the piecewise function graphed below. 6 5 4 -7-6-5 -4 -3 -2 -1 f(-3) = 2 1 -2- -3- -4 -5- -6+ 1 2 3 4 5 6

Evaluate f(-3) where f(x) is the piecewise function graphed below. 6 5 4 -7-6-5 -4 -3 -2 -1 f(-3) = 2 1 -2- -3- -4 -5- -6+ 1 2 3 4 5 6

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
### Evaluating a Piecewise Function #### Question: Evaluate \( f(-3) \) where \( f(x) \) is the piecewise function graphed below. #### Graph Description: The graph is divided into two distinct sections, composed of blue line segments with some segments including open and closed circles: 1. **Left Section (x-values from -7 to -1)**: - The line segment extends from point (-6, 1) to point (-3, 4). - There is an open circle at (-3, 4), indicating that this point is not included. - The segment continues from point (-3, 4) to point (-1, 4), where there is a closed circle. 2. **Right Section (x-values from 1 to 7)**: - The line segment extends from point (2, 3) to point (5, -1). - There is an open circle at (2, 3), indicating that this point is not included. - The segment continues from point (5, -1) to point (6, 5), where there is a closed circle. #### Solution: For \(f(-3)\), we examine the graph at \(x = -3\). The open circle indicates that the function value at \(x = -3\) is not \(4\). Therefore, to determine \( f(-3) \), one must look at the adjacent interval and values. Given the open circle at (-3, 4) and the right segment from point (-3, 4) to point (-1, 4), it is evident from the provided points that we must check if there are any defined values functionally. Thus, for \( x = -3 \): \[ f(-3) = 1 \] ### Conclusion: \[ f(-3) = 1 \] Therefore, input the evaluated result into the answer box provided in the educational website interface.
Transcribed Image Text:### Evaluating a Piecewise Function #### Question: Evaluate \( f(-3) \) where \( f(x) \) is the piecewise function graphed below. #### Graph Description: The graph is divided into two distinct sections, composed of blue line segments with some segments including open and closed circles: 1. **Left Section (x-values from -7 to -1)**: - The line segment extends from point (-6, 1) to point (-3, 4). - There is an open circle at (-3, 4), indicating that this point is not included. - The segment continues from point (-3, 4) to point (-1, 4), where there is a closed circle. 2. **Right Section (x-values from 1 to 7)**: - The line segment extends from point (2, 3) to point (5, -1). - There is an open circle at (2, 3), indicating that this point is not included. - The segment continues from point (5, -1) to point (6, 5), where there is a closed circle. #### Solution: For \(f(-3)\), we examine the graph at \(x = -3\). The open circle indicates that the function value at \(x = -3\) is not \(4\). Therefore, to determine \( f(-3) \), one must look at the adjacent interval and values. Given the open circle at (-3, 4) and the right segment from point (-3, 4) to point (-1, 4), it is evident from the provided points that we must check if there are any defined values functionally. Thus, for \( x = -3 \): \[ f(-3) = 1 \] ### Conclusion: \[ f(-3) = 1 \] Therefore, input the evaluated result into the answer box provided in the educational website interface.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

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