The function you've provided is:

\[
f(x) = \frac{x + 1}{x - 5}
\]

Would you like to see an analysis of the function, such as its domain, range, intercepts, or any asymptotes? 

Here are 5 related questions to expand your understanding:

1. What is the domain of the function \( f(x) \)?
2. How do you find the vertical asymptote of \( f(x) \)?
3. What is the horizontal asymptote of this function?
4. How can we find the x-intercepts and y-intercepts of \( f(x) \)?
5. What happens to \( f(x) \) as \( x \) approaches the vertical asymptote?

**Tip:** Understanding the behavior of functions around their asymptotes is crucial for sketching their graphs accurately.

Explore the function f(x) = (x + 1) / (x - 5) with detailed analysis of its domain, range, intercepts, and asymptotes. Learn how to find vertical and horizontal asymptotes, as well as x-intercepts and y-intercepts. Gain insights into the behavior of the function around its asymptotes. Suitable for high school students and those interested in advanced algebra concepts.

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