   Chapter 11.1, Problem 19ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# Show that if a function f :   R → R is increasing, then f is one-to-one.

To determine

To show:

Show that if a function f:RR is increasing then f is one to one.

Explanation

Given information:

Suppose f:RR is increasing.

Concept used:

Suppose f:RR is increasing.

By the definition of increasing function for x1,x2R.

If x2<x2f(x1)<f(x2)

Calculation:

To show that f is one to one, we must show that for all x1,x2R.

If x1x2 then f(x1)f(x2)

Since x1x2 and by the law of trichotomy

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