Understanding Interval Notation Concepts

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 use of closed and open circles in interval notation, and provides multiple examples to illustrate the concepts. The video also discusses how to handle graphs with blank spaces and the use of union in combining domains and ranges.

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 slope of the graph

• The set of possible output values

• The set of possible input values

• The range of the graph

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

• Parenthesis

• Bracket

• Angle bracket

• Curly brace

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 a parenthesis

• With an angle bracket

• With a curly brace

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

• [-4, 2]

• (-4, 2)

• (4, -2)

• [4, -2]

What is the purpose of using union in interval notation?

• To separate different intervals

• To combine intervals with blank spaces

• To indicate a closed interval

• To denote an open interval