- #1

bronxbombas

- 9

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## Homework Statement

Determine which of the following statements are true. Give proofs for the true statements and counterexamples for the false statements.

## Homework Equations

B. Every non-decreasing function from R to R is injective.

## The Attempt at a Solution

So I think I know a function that would suit, but I can't just give a drawing of a graph as a proof. I think it would be a function that would be increasing, eventually go monotone for a little while, and then continue to increase to infinity. Does anybody know a function that would represent this well?