Exploring Domain and Range in Functions

The video tutorial explains how to determine the domain and range of a relation using a table. It defines the domain as the set of all possible input values (x values) for which the relation is defined. The range is described as the set of all possible output values (y values) that the relation can produce. The tutorial also highlights the difference between a relation and a function, noting that a function cannot have multiple y values for a single x value, unlike a relation.

What is the domain in a relation?

• All possible outputs

• All possible inputs

• All possible functions

• All possible relations

In the given table, what is the y value when x is -1?

• 3

• -2

• 2

• 8

Why can't the given relation be described as a function?

• It has more than one y value for a given x value

• It has more than one x value for a given y value

• It has no y values

• It has no x values

What is the domain of the given relation?

• {-1, 3, 4, 6}

• {3, -2, 2, 8}

• {-1, -2, 2, 8}

• {3, 4, 6, 8}

What is the range in a relation?

• All possible functions

• All possible inputs

• All possible outputs

• All possible relations

Which of the following is a y value in the given relation?

• 8

• 9

• 5

• 7

What is the range of the given relation?

• {3, 4, 6, 8}

• {-1, 3, 4, 6}

• {3, -2, 2, 8, -1}

• {-1, -2, 2, 8}

What does a set imply in the context of domain and range?

• A collection of relations

• A collection of functions

• A collection of numbers without any order

• An ordered collection of numbers

Which x value corresponds to the y value of -1 in the given table?

• -1

• 4

• 3

• 6

What is the y value when x is 4 in the given table?

• 8

• 2

• -2

• 3