https://file.aiquickdraw.com/mathbot/file/1726202576948nv37e7gx.jpg

The image you've uploaded shows a question that asks you to determine whether a given relation is a function. The relation appears to include pairs of numbers, with the question asking you to decide whether the relation is a function.

### What is a function?
A relation is a function if every input (the first number in the pair) is associated with exactly one output (the second number in the pair). In other words, no input should be paired with more than one output.

### Reviewing the relation:
The relation provided appears to be:
- (1, 4)
- (1, -4)
- (0, 0)
- (1, -4)
- (2, 4)

Now, let's analyze the pairs:
- The input "1" is paired with both "4" and "-4" multiple times.
- This means that the same input is associated with different outputs.

### Conclusion:
Since input "1" is paired with different outputs (4 and -4), **this relation is not a function**.

Would you like further clarification or details on this? 

Here are five related questions to expand on this topic:
1. What is the definition of a function in mathematics?
2. How can you visually check if a relation is a function using a graph?
3. Can a relation still be useful if it's not a function?
4. How do you check if a set of ordered pairs represents a function?
5. What is the vertical line test, and how does it apply to determining functions?

**Tip:** When analyzing a set of ordered pairs, always check if any input value repeats with different outputs to quickly determine if it is a function.

Determine whether the relation (1, 4), (1, -4), (0, 0), (1, -4), (2, 4) is a function.

Analyze the relation (1, 4), (1, -4), (0, 0), (1, -4), (2, 4) to determine whether it is a function. Learn about the concept of functions and how to check for repeating input values. This example covers key concepts in relations and functions, ideal for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation