a) Prove that a strictly increasing function from R to it self is one-to-one.________________b) Give an example of an increasing function from R lo itself that is not one-to-one.

Solution:Step 1:In this problem we have to show that a strictly increasing function from R to R is one- to - one.The definition of increasing function: Strictly Increasing : A function is called strictly increasing , if for all x and y such that x < y then it has f(x) < f(y) . this is also called strictly monotonic increasing function.