**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).
**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,...
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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa9d4cac5-35ca-43b9-8077-b2fbb028db3e%2F85d0d8f7-92ab-4cc7-954d-a19eff408b7a%2Fjncuyzh.jpeg&w=3840&q=75)
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

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