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 7RCC
To determine

To sketch: The rough graphs of the function f(x)=x,g(x)=x2,h(x)=x3 and j(x)=x4 on the same axes.

Expert Solution

Explanation of Solution

The rough graphs of the functions f(x)=x,g(x)=x2,h(x)=x3 and j(x)=x4 are drawn and shown below in Figure 1.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1, Problem 7RCC

From Figure 1, it is observed that the graphs of the functions g(x)=x2 and j(x)=x4 are symmetric about vertical axis. Therefore, the functions g(x) and j(x) are called even functions as they are symmetric about the origin.

Similarly, it is observed that the graphs of the functions f(x)=xand h(x)=x3 are symmetric about vertical axis. Therefore, the functions f(x) and h(x) are called odd functions as they are symmetric about the origin.

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