Here is the graph of the function \( f(x) = \frac{x+1}{x+3} \). The red dashed line shows the vertical asymptote at \( x = -3 \), where the function is undefined, and the blue dashed line shows the horizontal asymptote at \( y = 1 \).

Would you like more details or have any questions?

Here are some related questions:
1. How do you determine the horizontal asymptote of a rational function?
2. What are the intercepts of the function \( f(x) = \frac{x+1}{x+3} \)?
3. How does the function behave as \( x \) approaches the vertical asymptote?
4. What is the significance of the horizontal asymptote at \( y = 1 \)?
5. How do you find the domain of \( f(x) = \frac{x+1}{x+3} \)?

**Tip:** When graphing rational functions, it's essential to consider both vertical and horizontal asymptotes to understand the function's long-term behavior.

Explore the graph of the function f(x) = (x+1)/(x+3) with detailed analysis of vertical and horizontal asymptotes. Understand how the function behaves near asymptotes and its overall graph characteristics. Suitable for high school students and those interested in rational functions and asymptotic behavior.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation