   Chapter 11.1, Problem 17ES ### 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
1 views

# Let h be the function from R to R defined by the formula h ( x ) = x 2 for each real number x a. Show that h is decreasing on the set of real numbers less than zero. b. Show that h is increasing on the set of real numbers greater than zero.

To determine

(a)

To show:

h is decreasing on the set of all real numbers less than zero.

Explanation

Given information:

Let h be the function from R to R defined by the formula h(x)=x2 for all real numbers x.

Concept used:

x1 and x2 Are real numbers with x1<x2<0.

Calculation:

Multiply both sides of x1<x2 by x1

x1,x1<x1,x2

x12>x1x2.........(1) Since x1<0 and by T22 of appealer A

To determine

(b)

To show:

h Is increasing on the set of all real numbers greater than zero.

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