Interval Notation and Domain/Range Mastery

The video tutorial by Mrs. Pacquiaone covers interval notation, a method to represent inequalities. It begins with an introduction to the concept, followed by examples illustrating how to write interval notation for different inequalities. The tutorial also explains the use of interval notation in determining the domain and range of functions. The video concludes with a review of key points and clarifications on common misconceptions.

What is interval notation used for?

• To graph functions

• To solve equations

• To find the slope of a line

• To represent inequalities in a different format

In interval notation, what symbol is used to exclude a number?

• Parenthesis

• Bracket

• Comma

• Infinity

How is the interval notation for x > 2 written?

• (2, ∞)

• [2, ∞)

• [2, ∞]

• (2, ∞]

What does a closed circle on a number line indicate?

• The number is included in the interval

• The number is excluded from the interval

• The interval is infinite

• The interval is finite

How is the interval notation for x ≤ 4 written?

• (-∞, 4]

• (-∞, 4)

• [4, ∞)

• (4, ∞)

What is a compound inequality?

• An inequality with two inequality symbols

• An inequality with one inequality symbol

• An equation with two variables

• An equation with one variable

How is the interval notation for -2 < x ≤ 7 written?

• [-2, 7)

• (-2, 7)

• [-2, 7]

• (-2, 7]

What does the domain of a function represent?

• All possible x-values

• All possible y-values

• The range of the function

• The slope of the function

How is the domain of a function typically denoted?

• Lowercase r

• Capital D

• Capital R

• Lowercase d

What is the range of a function?

• The domain of the function

• All possible y-values

• The slope of the function

• All possible x-values