Give an example of an increasing function from R to R which

Give an example of an increasing function from R to R which is ont but not one-to-one

Solution

Increasing and decreasing functions:

Definition:

             A function f whose domain and codomain are subsets of real numbers is strictly increasing if f(x) > f(y) whenever x > y and x and y are in the domain of f.

One example of such a function is the function f (x) - 2.

            Let f be a function from A to B.

For a subset S of B, define the subset

                 f ¹(S) ={xA:f(x)S}.

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