Understanding Domain and Range

The video tutorial explains how to determine the domain and range of functions using different representations such as ordered pairs, horizontal tables, and vertical tables. It emphasizes the use of set notation to list domain and range values, ensuring each value is listed only once. The tutorial provides examples to illustrate these concepts and concludes with a summary of the key points.

What is the domain of a function?

• The set of all possible functions

• The set of all possible coordinates

• The set of all possible inputs

• The set of all possible outputs

In the first example, which value is repeated in the range?

• 7

• 3

• 5

• 8

How is the domain represented in set notation?

• Using angle brackets

• Using curly brackets

• Using parentheses

• Using square brackets

In the second example, what is the smallest value in the domain?

• -4

• -3

• -2

• -1

Which value appears multiple times in the range of the second example?

• 6

• 4

• 3

• 5

What is the largest value in the range of the second example?

• 3

• 6

• 4

• 5

In the third example, what is the largest value in the domain?

• 1

• 5

• 0

• 3

What is the smallest value in the range of the third example?

• -4

• 0

• 5

• 2

In the third example, which value is repeated in the range?

• -4

• 5

• 0

• 2

Why is it important to understand the domain and range of a function?

• To graph functions

• To understand the behavior of functions

• To calculate derivatives

• To solve equations