https://file.aiquickdraw.com/mathbot/file/17273596862679mmlta5s.jpg

give specific answer according to the answer options

To determine whether each table represents a function, we need to check if every input \( x \) has only one corresponding output \( y \). In a function, no \( x \)-value can be paired with more than one \( y \)-value.

### Left Table:
The table is:
\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
-5 & 10 \\
-3 & 5 \\
-3 & 4 \\
0  & 0 \\
5  & -10 \\
\hline
\end{array}
\]

Here, the \( x \)-value \(-3\) corresponds to two different \( y \)-values: \( 5 \) and \( 4 \). This violates the definition of a function, so **this table does not represent a function**.

### Right Table:
The table is:
\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
-2 & -3 \\
-1 & -2 \\
0  & -1 \\
0  & 0 \\
1  & -1 \\
\hline
\end{array}
\]

Here, the \( x \)-value \( 0 \) corresponds to two different \( y \)-values: \( -1 \) and \( 0 \). This also violates the definition of a function, so **this table does not represent a function either**.

### Final Conclusion:
Neither of the tables represents a function, based on the given definitions.

---

Would you like more details or have any further questions?

Here are some related questions you might find useful:
1. What are the key properties of a function?
2. How can I tell if a graph represents a function?
3. What is the vertical line test, and how does it relate to functions?
4. Can a function have repeating \( y \)-values?
5. What is the difference between a function and a relation?

**Tip:** A quick way to check if a set of values is a function is to see if any \( x \)-value is paired with more than one \( y \)-value. If it is, the set does not represent a function.

Which table of values represents a function?

Learn how to determine whether a table of values represents a function by checking if each x-value corresponds to only one y-value. This problem tests understanding of functions and relations, making it suitable for students in Grades 7-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation