Question

What is monotonic increasing function of real analysis?

Answer 1

Test for monotonic functions states: Suppose a function is continuous on [a, b] and it is differentiable on (a, b). If the derivative is larger than zero for all x in (a, b), then the function is increasing on [a, b]. If the derivative is less than zero for all x in (a, b), then the function is decreasing on [a, b]. A function is "increasing" when the y-value increases as the x-value increases, like this: It is easy to see that y=f(x) tends to go up as it goes along.