Problem #PRU-64891

Problems Algebra Functions of one variable. Continuity Functional equations Functions. Continuity (other) Calculus

Problem

The numerical function \(f\) is such that for any \(x\) and \(y\) the equality \(f (x + y) = f (x) + f (y) + 80xy\) holds. Find \(f(1)\) if \(f(0.25) = 2\).