Domain and Range in Interval Notation

This video tutorial explains how to determine the domain and range of a graph using interval notation. It covers the definitions of domain and range, the notations used for closed and open circles, and how to handle infinity. The video provides multiple examples, each demonstrating how to find the domain and range of different graphs, including cases with open and closed circles and graphs with gaps. The tutorial emphasizes the use of parentheses and brackets in interval notation and explains the concept of union for combining domains.

What is the main focus of this video tutorial?

• Determining the domain and range using inequality notation

• Understanding the concept of functions

• Determining the domain and range using interval notation

• Learning about graph transformations

What does the domain of a graph represent?

• The set of possible output values

• The set of possible input values

• The range of the graph

• The slope of the graph

Which notation is used for a closed circle in interval notation?

• Parenthesis

• Bracket

• Curly brace

• Angle bracket

In Example 1, what is the domain of the graph?

• (-∞, 3]

• (-∞, 3)

• [3, ∞)

• (3, ∞)

In Example 2, what is the range of the graph?

• (-2, 4]

• [-2, 4)

• (2, 4)

• [-2, 4]

How is infinity represented in interval notation?

• With a bracket

• With an angle bracket

• With a parenthesis

• With a curly brace

In Example 4, what is the domain of the circular graph?

• [-4, 2]

• (-4, 2)

• [4, -2]

• (4, -2)

In Example 5, how do you handle a graph with a blank space?

• Ignore the blank space

• Use union to combine domains

• Consider it as a closed interval

• Use intersection to combine domains