The function is defined by
f(x) = ax² + bx + c2x + d.
The graph has a vertical asymptote at x = 5 and an x-intercept at (2, 0). The parabola y = ax² + bx + c opens downward, and f(0) ≥ 0.
What is the greatest possible value of b/a?
Despite the title, this is a constraints and optimization problem. No statistical regression or data fitting is needed.
Thin curves are examples from an infinite family. The bounded chapter adds explicit experimental assumptions. No accounts, tracking, or external resources are used. Progress is stored on this device when the browser permits it.