👉 In mathematics, an epigeonic curve is a curve that is defined by two equations of the form y = f(x) + g(x), where both functions are continuous and non-decreasing. This type of curve is often used in optimization problems to find the minimum value or maximum point of a function. For example, consider the function f(x) = x^2 - 3x + 1 and g(x) = x^2 - 5x + 6. The curves