do i use the horizontal line test to find out if y is a function of x 

No, the **horizontal line test** is not used to determine if \( y \) is a function of \( x \). Instead, it is used to determine whether a function is **one-to-one** (injective), which means that for each value of \( y \), there is exactly one corresponding value of \( x \).

To determine if \( y \) is a function of \( x \), you would use the **vertical line test**. The vertical line test states that if any vertical line drawn on the graph of a relation intersects the graph at more than one point, then \( y \) is not a function of \( x \).

### Summary:
- **Vertical Line Test:** Used to determine if \( y \) is a function of \( x \).
- **Horizontal Line Test:** Used to determine if the function is one-to-one.

Would you like more details or have any further questions?

### Related Questions:
1. How does the vertical line test work?
2. What does it mean for a function to be one-to-one?
3. Can a function pass the vertical line test but fail the horizontal line test?
4. How do you find the inverse of a function, and what role does the horizontal line test play in that?
5. What is the difference between a function and a relation?

### Tip:
When graphing, always consider the domain and range to better understand the behavior of the function and whether it meets the criteria of the vertical and horizontal line tests.

Explore how to determine if y is a function of x using the vertical line test in mathematics. Learn about the difference between the vertical line test and the horizontal line test. Suitable for students in Grades 7-9.

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