https://file.aiquickdraw.com/mathbot/file/17254913839231fzjzb52.jpg

To determine which table represents a function, we need to remember that a function assigns exactly one output (y-value) for each input (x-value). In other words, no x-value should have more than one corresponding y-value.

Let's analyze each table:

1. **First Table:**
   - \((-5, -5)\), \((0, 0)\), \((5, 5)\), \((6, -6)\)
   - Each x-value has a unique y-value.
   - This is a function.

2. **Second Table:**
   - \((-4, 8)\), \((-2, 8)\), \((0, 2)\)
   - Each x-value has a unique y-value.
   - This is a function.

3. **Third Table:**
   - \((-3, -1)\), \((-2, 0)\), \((-2, -1)\), \((8, 1)\)
   - The x-value \(-2\) corresponds to both \(0\) and \(-1\).
   - This is **not** a function.

4. **Fourth Table:**
   - \((-4, 2)\), \((-3, 1)\), \((1, 3)\), \((4, 0)\)
   - Each x-value has a unique y-value.
   - This is a function.

Based on this analysis, the tables that represent functions are the **first, second, and fourth tables**. The third table does not represent a function because the x-value \(-2\) corresponds to two different y-values.

Would you like to ask anything specific or go into more details?

---

Here are 5 questions to expand your understanding:

1. What is the definition of a function in mathematical terms?
2. How can you determine if a graph represents a function?
3. Can a function have the same y-value for different x-values?
4. What is the difference between a function and a relation?
5. What are some examples of real-life situations where functions are used?

**Tip:** Remember, a quick way to check if a table represents a function is to ensure that no x-value is repeated with different y-values.

Learn how to determine if a table represents a function by analyzing the relationship between x and y values. Understand the core concepts of functions and relations. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation