Exploring Relations and Functions with Interval Notation

The video tutorial covers relations and functions, focusing on using interval notation to identify domains and ranges. It explains the difference between discrete and continuous functions, providing examples and demonstrating how to express domains and ranges using interval notation. The tutorial also highlights the use of brackets and parentheses in interval notation and concludes with a summary of key points.

What are the key vocabulary words introduced in this lesson?

• Domain, Range, Axis

• Function, Relation, Graph

• Discrete, Continuous, Interval Notation

• Point, Line, Circle

How do you identify the domain of a discrete function?

• By listing all the y-values

• By using an open parenthesis

• By drawing a line through the points

• By listing all the x-values

What is the domain of a discrete function with x-values -2, -1, 0, 1, and 2?

• {-2, 2}

• [0, 2]

• (-2, 2)

• {-2, -1, 0, 1, 2}

How do you represent the domain of a continuous function that extends to negative infinity?

• (-∞, ∞)

• (-∞, 0)

• [0, ∞)

• (-∞, 0]

What does an open parenthesis indicate in interval notation?

• The value is included

• The value is excluded

• The interval is infinite

• The interval is discrete

In a mixed function, how do you represent a domain that starts at 1 and goes up to but does not include 4?

• (1, 4)

• (1, 4]

• [1, 4]

• [1, 4)

What is the range of a function with y-values from -3 to 5, where -3 is an open circle and 5 is a closed circle?

• [0, 5]

• (-3, 5]

• [-3, 5]

• (-3, 5)

How do you represent a domain that starts at -2 and extends to infinity?

• (-∞, ∞)

• (-2, ∞)

• [-2, ∞)

• (-∞, -2]

What does a squiggly bracket indicate in interval notation?

• A range of values

• A discrete set of values

• An infinite interval

• A continuous interval

What is the range of a function with only one y-value of 3?

• [3]

• (3)

• {3, 4}

• {3}