https://file.aiquickdraw.com/mathbot/file/1725503355904cy7ge4o3.jpg

The function given in the image is:

\[
f(x) = \frac{3x + 7}{x^2 - 2}
\]

Would you like me to evaluate this function for specific values of \( x \), find its derivative, integral, or something else? Let me know!

### Five follow-up questions:

1. Do you want to find the domain of the function?
2. Would you like to find the vertical or horizontal asymptotes?
3. Should I compute the derivative of the function?
4. Do you want to analyze the function for local maxima or minima?
5. Are you interested in finding where the function is increasing or decreasing?

### Tip:
For rational functions like this one, always check for points where the denominator is zero to determine the domain and possible vertical asymptotes!

Explore the rational function f(x) = (3x + 7) / (x^2 - 2), including its domain, asymptotes, derivative, and function behavior. Suitable for students in Grades 10-12, this page provides a detailed analysis with key concepts and formulas for understanding rational functions.

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