Determining Domain and Range of Functions

This video tutorial explains the concepts of domain and range in functions and relations. It covers discrete and continuous relations, using various notations like set, inequality, and interval notation. The tutorial provides mnemonic aids to remember domain and range, and includes example problems to reinforce understanding.

Which of the following pairs is used to remember the order of domain and range?

• Vertical and Horizontal

• Input and Output

• Range and Domain

• Output and Input

What is the domain of a discrete relation?

• All Y values

• All X values

• All Z values

• All W values

How is a continuous relation different from a discrete relation?

• It has only one value

• It is not graphed

• It spans intervals without breaks

• It exists at specific points

Which notation is used to describe the domain as X is greater than negative infinity and less than positive infinity?

• Number line notation

• Set notation

• Inequality notation

• Verbal notation

Which of the following is NOT a correct notation for the domain of a continuous relation?

• X is greater than negative infinity and less than infinity

• X is greater than or equal to negative infinity and less than infinity

• X is an element of all real numbers

• X is greater than negative infinity and less than positive infinity

Which notation uses parentheses and brackets to define the domain?

• Interval notation

• Verbal notation

• Set notation

• Inequality notation

In set notation, what does the vertical line segment after the first X mean?

• Such that

• Less than

• Greater than

• Is an element of

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

• (7, -9]

• [-7, 9)

• [-9, 7)

• (-9, 7]

What is the range of a relation if the upper boundary is y = 8 and the lower boundary is y = -7?

• y is less than -7 and greater than or equal to 8

• y is greater than 8 and less than -7

• y is greater than -7 and less than or equal to 8

• y is equal to -7 and greater than 8

What is the correct interval notation for a range that is greater than negative infinity and less than 6?

• [6, -∞]

• [6, -∞)

• (-∞, 6)

• (-∞, 6]