https://file.aiquickdraw.com/mathbot/file/1730298897130ecdjz6bn.jpg

To determine if the given relation represents a function, we can use the **vertical line test**. This test states that if any vertical line drawn on the graph intersects the relation at more than one point, then it is *not* a function. If each vertical line intersects at only one point, then the relation *is* a function.

### Analysis:
1. Observing the graph, no vertical line would intersect more than one point in any area of the plot.
2. Each \( x \)-value corresponds to only one \( y \)-value, which means that for every input \( x \), there is a unique output \( y \).

### Conclusion:
This relation **is a function** because it passes the vertical line test.

Would you like further details or have any questions?

### Additional Questions:
1. How does the vertical line test work for determining functions?
2. What are other ways to determine if a relation is a function?
3. What would the graph look like if this relation were not a function?
4. How can functions be represented differently (e.g., as equations, tables)?
5. What is the difference between a relation and a function?

### Tip:
Remember, if any \( x \)-value corresponds to more than one \( y \)-value, the relation is not a function!

Determine if the following relation represents a function.

Learn how to determine if a relation represents a function by applying the vertical line test. Analyze the graph to verify if each x-value corresponds to a unique y-value, ensuring it passes the function criteria. Suitable 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