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7. Which table represents y as a function of x?

7. Which table represents y as a function of x?

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 7: Which table represents \( y \) as a function of \( x \)?** **Table A:** \[ \begin{array}{|c|c|} \hline X & Y \\ \hline -2 & 5 \\ -1 & 4 \\ 0 & 1 \\ 1 & 2 \\ 2 & 1 \\ 3 & 0 \\ \hline \end{array} \] **Table B:** \[ \begin{array}{|c|c|} \hline X & Y \\ \hline -3 & 6 \\ -1 & 4 \\ 0 & 3 \\ 1 & 3 \\ 3 & 4 \\ 3 & 6 \\ \hline \end{array} \] **Table C:** \[ \begin{array}{|c|c|} \hline X & Y \\ \hline -5 & 5 \\ 1 & 4 \\ 0 & 3 \\ -1 & 2 \\ -5 & 1 \\ -7 & 0 \\ \hline \end{array} \] **Table D:** \[ \begin{array}{|c|c|} \hline X & Y \\ \hline -4 & 7 \\ -3 & 5 \\ -2 & 3 \\ -1 & 1 \\ 0 & 0 \\ \hline \end{array} \] **Explanation:** For a table to represent \( y \) as a function of \( x \), each value of \( x \) must correspond to exactly one value of \( y \). - **Table A:** Each \( x \) value has a unique \( y \) value. - **Table B:** The \( x \) value 3 corresponds to two different \( y \) values (4 and 6). - **Table C:** The \( x \) value -5 corresponds to two different \( y \) values (5 and 1). - **Table D:** Each \( x \) value has a unique \( y \) value. Hence, tables A and D represent \( y \) as a function of \( x \).
Transcribed Image Text:**Question 7: Which table represents \( y \) as a function of \( x \)?** **Table A:** \[ \begin{array}{|c|c|} \hline X & Y \\ \hline -2 & 5 \\ -1 & 4 \\ 0 & 1 \\ 1 & 2 \\ 2 & 1 \\ 3 & 0 \\ \hline \end{array} \] **Table B:** \[ \begin{array}{|c|c|} \hline X & Y \\ \hline -3 & 6 \\ -1 & 4 \\ 0 & 3 \\ 1 & 3 \\ 3 & 4 \\ 3 & 6 \\ \hline \end{array} \] **Table C:** \[ \begin{array}{|c|c|} \hline X & Y \\ \hline -5 & 5 \\ 1 & 4 \\ 0 & 3 \\ -1 & 2 \\ -5 & 1 \\ -7 & 0 \\ \hline \end{array} \] **Table D:** \[ \begin{array}{|c|c|} \hline X & Y \\ \hline -4 & 7 \\ -3 & 5 \\ -2 & 3 \\ -1 & 1 \\ 0 & 0 \\ \hline \end{array} \] **Explanation:** For a table to represent \( y \) as a function of \( x \), each value of \( x \) must correspond to exactly one value of \( y \). - **Table A:** Each \( x \) value has a unique \( y \) value. - **Table B:** The \( x \) value 3 corresponds to two different \( y \) values (4 and 6). - **Table C:** The \( x \) value -5 corresponds to two different \( y \) values (5 and 1). - **Table D:** Each \( x \) value has a unique \( y \) value. Hence, tables A and D represent \( y \) as a function of \( x \).
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