It seems like you're working with an expression where \( y \) is defined as a function of \( x \), possibly \( y = \frac{1}{x} \), a reciprocal function. Is that what you're trying to express? If so, the equation is written as:

\[
y = \frac{1}{x}
\]

This equation describes a hyperbola where \( y \) approaches 0 as \( x \) approaches infinity or negative infinity, and \( y \) becomes very large as \( x \) approaches 0. The graph has asymptotes at \( x = 0 \) and \( y = 0 \).

Would you like a detailed explanation of how to analyze or graph this function? Let me know if you have questions or want to explore related concepts!

Here are 5 questions that could expand on this topic:
1. How do you find the domain and range of the function \( y = \frac{1}{x} \)?
2. What are the key features of the graph of \( y = \frac{1}{x} \), such as intercepts and asymptotes?
3. How does the function \( y = \frac{1}{x} \) change if you shift or stretch it?
4. What is the behavior of the function as \( x \to 0^+ \) and \( x \to 0^- \)?
5. How do you apply the concept of limits to \( y = \frac{1}{x} \)?

**Tip**: When analyzing a reciprocal function like \( y = \frac{1}{x} \), it's helpful to remember the vertical and horizontal asymptotes, which show where the function is undefined and how it behaves at extreme values of \( x \).

Explore how to graph the reciprocal function y = 1/x, understanding its asymptotes, domain, and range. This detailed explanation is ideal for students in Grades 9-11, focusing on key algebraic concepts and graphing techniques.

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