Exercise 13 Intermediate Value Theorem (IVT) For which function does the intermediate value theorem guarantee the existence of a zero in the given interval? (a) f(x) = x³ -x-1, [−1,1] (b) g(x) = sec (x), [-] (c) h(x) = ½, [−1,1]

Find a function for which f'(x) exists for all real numbers but f"(x) doesn't exist for all real numbers

Sketch f(x) = csc x and g(x) = sec x below on the same axis over a domain of xE[-2π, 2π]. Show all main points, label functions with equations.