How do you know if a function is strictly monotonic?
How do you know if a function is strictly monotonic? A monotonic function is a function which is either entirely nonincreasing or nondecreasing. A function is monotonic if its first derivative (which need not be continuous) does not change sign. Are strictly increasing functions invertible? If it is not continuous neither is its inverse. However, every strictly increasing function will have an inverse on the domain where it is strictly increasing. The requirement of an inverse is that f(f−1(x)) = x. Since f is strictly increasing it is a 1 to 1 mapping onto its range. What does it mean...