👉 In mathematics, an upgoing function is a function that increases as its input approaches infinity. For example, the function f(x) = x^2/x + 1 is an upgoing function because as x approaches infinity, f(x) increases without bound. An upgoing function has a property of "speeding up" as it approaches infinity. This means that for some values of x close to infinity, f(x) may be much larger than the input value at those points. For example
