Finding Domain and Range in Interval Notation

The video tutorial explains how to determine the domain and range of functions using interval notation. It begins with a basic introduction to the concepts of domain and range, followed by three examples that illustrate how to find these for different types of graphs. The tutorial covers the use of infinity in interval notation, the significance of filled and unfilled circles on graphs, and how to handle complex graphs with multiple parts. The video concludes with a reminder to subscribe.

What does the domain of a function represent?

• Maximum value of the function

• Set of possible x-values

• Set of possible y-values

• Minimum value of the function

In interval notation, what does a bracket symbolize?

• Infinity is included

• Inclusivity of the value

• Exclusivity of the value

• None of the above

What is the domain of a function that continues indefinitely in both directions on the x-axis?

• (-∞, 0]

• [0, ∞)

• [0, 1]

• (-∞, ∞)

If a graph has a filled circle at x = 1, how is this point represented in interval notation?

• (1, ∞)

• [1, ∞)

• (1, ∞)

• None of the above

What does the range of a function represent?

• Set of possible y-values

• None of the above

• Set of possible x-values

• Set of maximum y-values

How is a value that is not included in the range or domain typically represented in interval notation?

• With a curly brace

• With a parenthesis

• With a bracket

• With a square bracket

In a function with multiple parts, how are different sections of the domain represented?

• With a comma

• With a semicolon

• With a union symbol

• With a dash

What does a filled circle on a graph indicate about a point?

• The point is excluded from the domain

• The point is a minimum value

• The point is a maximum value

• The point is included in the domain

If a function's graph continues indefinitely upwards, what is the upper limit of the range in interval notation?

• [∞)

• (∞)

• ∞

• None of the above

Why is it important to subscribe to the tutorial channel?

• All of the above

• To access exclusive content

• To participate in live sessions

• To receive updates on new tutorials