Exploring Interval Notation, Domain, and Range

The video tutorial introduces interval notation, explaining its use in representing inequalities. It covers the concept of infinity and how it is applied in interval notation. The tutorial provides examples of interval notation, demonstrating how to express inequalities using this method. It then introduces the concepts of domain and range, explaining how to determine them from graphs. The video concludes with examples of finding domain and range, emphasizing the use of interval notation.

What does a circle around a number on a number line indicate?

• The number is included in the interval.

• The number is the endpoint of the interval.

• The number is not included in the interval.

• The number is the midpoint of the interval.

In interval notation, what symbol is used to indicate that a number is not included in the interval?

• Angle bracket < >

• Bracket [ ]

• Parenthesis ( )

• Curly brace { }

What does the concept of infinity represent in interval notation?

• A very large number that can be reached.

• A number that is always included in the interval.

• A number that is always excluded from the interval.

• An idea of an unbounded quantity.

How do you represent the interval of all numbers less than or equal to 2 in interval notation?

• (2, ∞)

• [2, ∞)

• (-∞, 2)

• (-∞, 2]

What does the 'U' symbol represent in interval notation?

• Union of intervals

• Difference of intervals

• Complement of intervals

• Intersection of intervals

What are the domain values of a function?

• All possible y-values

• All possible w-values

• All possible x-values

• All possible z-values

If a graph extends infinitely to the left, what is the domain in interval notation?

• [x, ∞)

• (-∞, x]

• (-∞, 0)

• (-∞, ∞)

What is the range of a function?

• All possible x-values

• All possible y-values

• All possible z-values

• All possible w-values

How do you represent the range of a function that extends infinitely upwards?

• [y, ∞)

• [y, ∞]

• (-∞, ∞)

• (-∞, y]

If a graph has points at x-values -2, 0, 1, 3, and 5, what is the domain?

• {-2, 0, 1, 3, 5, 7}

• (-2, 5)

• {-2, 0, 1, 3, 5}

• [-2, 5]