   Chapter 11.1, Problem 16ES ### 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 the function g :   R → R defined by the formula g ( x ) = − ( x / 3 ) + 1 is decreasing on the set of real numbers.

To determine

Show that the function g:RR defined by the formula g(x)=(x/3)+1 is decreasing on the set of all real numbers.

Explanation

Given information:

x1 and x2 Are real numbers with x1<x2.

Concept used:

We must show that f(x1)>f(x2).

Calculation:

Suppose x1 and x2 are real numbers with x1<x2.

We must show that f(x1)>f(x2).

Since x1<x2

x13<x23

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