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 2RCC
To determine

To discuss: Four ways of representing a function with the related examples.

Expert Solution

Answer to Problem 2RCC

Solution:

There are four ways to represent a function which are:

i) Verbally

ii) Numerically

iii) Visually

iv) Algebraically

Explanation of Solution

There are four ways to represent a function which are:

i) Verbally

ii) Numerically

iii) Visually

iv) Algebraically

Example of each way is discussed below.

i) Verbally: Describing a function in words is called representing verbally. To find the area of the square multiply the side length of a square by the side length itself. That is the square of the measure of the side length.

ii) Numerically: Representing a function through a table of values is called representing numerically. The following table shows the area of the square corresponding to the side length.

Side length (a) Area (A)
1 1
2 4
3.2 10.24
4.8 23.04
5 25
6.1 37.21
10 100

iii) Visually: A function can be represented visually as shown below in Figure 1.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1, Problem 2RCC

Note that the above table is represented visually.

iv) Algebraically: Representing a function through a formula is called representing algebraically. To area (A) of the square of side length a can be obtained by the following formula A(a)=a2.

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