Relations 2023

Front

What is the definition of a relation in mathematics?

Back

A relation is a set of ordered pairs, typically defined as a relationship between two sets.

Tags

CCSS.8.F.A.1

Front

What is the domain of a relation?

Back

The domain of a relation is the set of all possible input values (or first elements) from the ordered pairs.

Front

What is the range of a relation?

Back

The range of a relation is the set of all possible output values (or second elements) from the ordered pairs.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does an ordered pair consist of?

Back

An ordered pair consists of two elements, typically written in the form (x, y), where 'x' is the first element and 'y' is the second element.

Tags

CCSS.5.G.A.1

Front

How do you identify the domain from a set of ordered pairs?

Back

To identify the domain, extract the first elements from each ordered pair.

Front

How do you identify the range from a set of ordered pairs?

Back

To identify the range, extract the second elements from each ordered pair.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the significance of the right grouping in a mapping?

Back

The right grouping in a mapping refers to the range, which indicates the output values associated with the input values.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

Can a relation have multiple outputs for a single input?

Back

Yes, a relation can have multiple outputs for a single input, but it is not a function if it does.

Tags

CCSS.8.F.A.1

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output.

Tags

CCSS.8.F.A.1

Front

What notation is commonly used to represent a relation?

Back

Relations are often represented using set notation, such as R = {(x1, y1), (x2, y2), ...}.

Tags

CCSS.8.F.A.1