**Which relations are functions? Select all that apply.** **Option A:** Pairs: (3, 2), (-1, 7), (-3, 1), (0, 9), (2, -4) **Option B:** Mapping Diagram: - x = 4 maps to y = 9 - x = -2 maps to y = 9 and y = 12 - x = 0 maps to y = 15 **Option C:** Table: \[ \begin{array}{|c|c|c|c|c|} \hline x & 1 & 2 & 3 & 4 \\ \hline y & 2 & 4 & 6 & 13 \\ \hline \end{array} \] **Option D:** Graph: - Points plotted at (1, 1), (-2, 3), (2, -1), (-4, 4), (3, -2) **Explanation:** A function is a relation where each input (x-value) corresponds to exactly one output (y-value).

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,...
icon
Related questions
Question
**Which relations are functions? Select all that apply.**

**Option A:**  
Pairs: (3, 2), (-1, 7), (-3, 1), (0, 9), (2, -4)

**Option B:**  
Mapping Diagram:  
- x = 4 maps to y = 9  
- x = -2 maps to y = 9 and y = 12  
- x = 0 maps to y = 15

**Option C:**  
Table:  
\[
\begin{array}{|c|c|c|c|c|}
\hline
x & 1 & 2 & 3 & 4 \\
\hline
y & 2 & 4 & 6 & 13 \\
\hline
\end{array}
\]

**Option D:**  
Graph:  
- Points plotted at (1, 1), (-2, 3), (2, -1), (-4, 4), (3, -2)

**Explanation:**  
A function is a relation where each input (x-value) corresponds to exactly one output (y-value).
Transcribed Image Text:**Which relations are functions? Select all that apply.** **Option A:** Pairs: (3, 2), (-1, 7), (-3, 1), (0, 9), (2, -4) **Option B:** Mapping Diagram: - x = 4 maps to y = 9 - x = -2 maps to y = 9 and y = 12 - x = 0 maps to y = 15 **Option C:** Table: \[ \begin{array}{|c|c|c|c|c|} \hline x & 1 & 2 & 3 & 4 \\ \hline y & 2 & 4 & 6 & 13 \\ \hline \end{array} \] **Option D:** Graph: - Points plotted at (1, 1), (-2, 3), (2, -1), (-4, 4), (3, -2) **Explanation:** A function is a relation where each input (x-value) corresponds to exactly one output (y-value).
Expert Solution
Step 1: Concept

For a relation to be a function, x values should not be repeated.

 

steps

Step by step

Solved in 2 steps

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