BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 1, Problem 4RCC
To determine

To define: An increasing function.

Expert Solution

Explanation of Solution

Consider a function y=f(x).

Let two points x1 and x2 such that x1<x2 lie on the closed interval [a, b].

The function y=f(x) is said be an increasing function on the given interval [a, b] if f(x1)<f(x2) whenx1<x2.

Graph:

The behavior of an increasing function is shown below in Figure 1.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1, Problem 4RCC

From Figure 1, it is observed that the curve y=f(x) is increasing on the interval [a, b].

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