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4. Which representations are functions? 1. II. 0. 1. 一 4 2. 5. 4 6. III. (1, 2). (-1. -3), (4. -7), (1, 9)} IV. f(x) = x- 3 1. I and II 2. Il and IV 3. I, Il and IV 4. II, only 4.

4. Which representations are functions? 1. II. 0. 1. 一 4 2. 5. 4 6. III. (1, 2). (-1. -3), (4. -7), (1, 9)} IV. f(x) = x- 3 1. I and II 2. Il and IV 3. I, Il and IV 4. II, only 4.

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,...
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**Question 4**: Which representations are functions? **Representation I:** A table that lists values for \(x\) and \(y\): \[ \begin{array}{|c|c|} \hline x & y \\ \hline 0 & 1 \\ 1 & 4 \\ 2 & 5 \\ 3 & 4 \\ 4 & 6 \\ \hline \end{array} \] **Representation II:** A graph depicting a wavy curve that crosses both the x-axis and y-axis multiple times. The graph shows a continuous function that varies in amplitude. **Representation III:** A set of ordered pairs: \[ \{ (1, 2), (-1, -3), (4, -7), (1, 9) \} \] **Representation IV:** The function \( f(x) = x^2 - 3 \). **Options:** 1. I and II 2. II and IV 3. I, II, and IV 4. III, only For educational purposes, determine which of these representations actually qualify as functions based on the definition of a function: a relation where each input (x-value) is associated with exactly one output (y-value).
Transcribed Image Text:**Question 4**: Which representations are functions? **Representation I:** A table that lists values for \(x\) and \(y\): \[ \begin{array}{|c|c|} \hline x & y \\ \hline 0 & 1 \\ 1 & 4 \\ 2 & 5 \\ 3 & 4 \\ 4 & 6 \\ \hline \end{array} \] **Representation II:** A graph depicting a wavy curve that crosses both the x-axis and y-axis multiple times. The graph shows a continuous function that varies in amplitude. **Representation III:** A set of ordered pairs: \[ \{ (1, 2), (-1, -3), (4, -7), (1, 9) \} \] **Representation IV:** The function \( f(x) = x^2 - 3 \). **Options:** 1. I and II 2. II and IV 3. I, II, and IV 4. III, only For educational purposes, determine which of these representations actually qualify as functions based on the definition of a function: a relation where each input (x-value) is associated with exactly one output (y-value).
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