https://file.aiquickdraw.com/mathbot/file/1725512879189fbiv6brs.jpg

The image shows the function \( h(x) = \frac{2}{x} \).

It appears you're looking to solve or analyze something about this function. Since it's an expression for a rational function, here are a few potential directions you could explore:

1. **Domain**: The domain of \( h(x) = \frac{2}{x} \) is all real numbers except \( x = 0 \), because division by zero is undefined.
   
2. **Range**: The range of this function includes all real numbers except zero. Since the numerator is a constant (2), the function will never output 0.

3. **Asymptotes**:
   - **Vertical asymptote**: At \( x = 0 \), the function has a vertical asymptote, as the function tends toward infinity as \( x \) approaches 0.
   - **Horizontal asymptote**: As \( x \) approaches either positive or negative infinity, \( h(x) \) approaches 0.

4. **Graph behavior**: The graph of \( h(x) = \frac{2}{x} \) is a hyperbola, with two distinct branches: one in the first quadrant for positive \( x \) values and one in the third quadrant for negative \( x \) values.

If you were seeking a specific solution or analysis, feel free to clarify. Would you like to explore one of these concepts further, or do you have another type of question about this function?

### Here are five related questions:
1. What are the intercepts of the function \( h(x) = \frac{2}{x} \)?
2. How does the function behave as \( x \to 0^+ \) and \( x \to 0^- \)?
3. Can we find the inverse of the function \( h(x) = \frac{2}{x} \)?
4. What is the derivative of \( h(x) \) with respect to \( x \)?
5. How can we determine the concavity of the graph for \( h(x) = \frac{2}{x} \)?

**Tip**: For rational functions like this, identifying the vertical and horizontal asymptotes gives a good sense of how the function behaves for large and small \( x \) values.

What is the solution to the function h(x) = 2/x?

Learn how to analyze the rational function h(x) = 2/x, including its domain, range, vertical and horizontal asymptotes, and graph behavior. Suitable for high school students, Grades 9-12.

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