Exploring Domain and Range Notations

This video tutorial covers the concepts of domain and range in functions and relations. It explains how to identify domain and range using discrete and continuous relations, and introduces various notations such as set, verbal, inequality, and interval notations. The tutorial also includes practice problems to reinforce understanding of these concepts.

Which of the following pairs is correctly associated with domain and range?

• Output and Input

• Range and Domain

• Input and Output

• Vertical and Horizontal

What is the domain of a discrete relation?

• All values of the function

• All values between the points

• All X values of the points

• All Y values of the points

Which notation uses brackets to describe the domain and range?

• Inequality notation

• Set notation

• Number line notation

• Verbal notation

How is the domain of a continuous relation described verbally?

• From zero to positive infinity

• From negative infinity to positive infinity

• From negative infinity to a specific value

• From negative infinity to zero

Which symbol represents 'is an element of' in set notation?

• ∈

• ∋

• ⊇

• ⊆

In interval notation, how is the domain from negative infinity to positive infinity represented?

• (-∞, 0]

• [-∞, ∞]

• (-∞, ∞)

• [0, ∞)

What is the range of a function if the upper boundary is 4?

• Y is less than or equal to 4

• Y is equal to 4

• Y is less than 4

• Y is greater than 4

Which notation uses a vertical number line to represent the range?

• Verbal notation

• Inequality notation

• Set notation

• Number line notation

What is the domain of the relation if X is greater than -9 and less than or equal to 7?

• (-9, 7]

• [-9, 7]

• (-9, 7)

• [0, 7]

Which of the following is NOT a correct representation of the range if Y is greater than -7 and less than or equal to 8?

• Y < -7 and Y ≥ 8

• (-7, 8]

• Y ∈ (-7, 8]

• Y > -7 and Y ≤ 8