The graph of the function $f(x) = \frac{5x - 3}{2x + 3}$ has been plotted. It shows:

• A vertical asymptote at $x = -\frac{3}{2}$ (red dashed line).
• A horizontal asymptote at $y = \frac{5}{2}$ (green dashed line).

Would you like further details or have any questions about the asymptotes or the plot?

Here are some related questions for further exploration:

1. What happens to $f(x)$ as $x \to \infty$ and $x \to -\infty$?
2. How would adding constants to the numerator or denominator affect the asymptotes?
3. Can $f(x)$ intersect its horizontal asymptote?
4. What would the graph look like if the denominator's degree was higher than the numerator's?
5. How do the horizontal and vertical asymptotes affect the general shape of rational functions?

Tip: Always check the domain of a rational function by setting the denominator equal to zero to avoid undefined points.