This is a rational function $f(x) = \frac{4x^2 + 40x + 100}{3x + 15}$. Would you like me to analyze this function? I can help find the vertical and horizontal asymptotes, x- and y-intercepts, or locate holes in the graph.

Let me know if you'd like details, and here's a breakdown of what I can analyze:

1. Find vertical asymptotes (values where the denominator is zero).
2. Determine horizontal asymptotes (compare the degrees of numerator and denominator).
3. Compute x- and y-intercepts.
4. Analyze if any holes exist due to shared factors between numerator and denominator.
5. Plot the function to visualize its behavior.

Tip: Simplify the function first to check for any removable discontinuities or holes.