Relations and Functions

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x) and an output (y).

Tags

CCSS.8.F.A.1

Front

What is a function?

Back

A function is a special type of relation where every input has exactly one output.

Tags

CCSS.8.F.A.1

Front

What does it mean for a set of ordered pairs to be a function?

Back

It means that for every x-value in the set, there is only one corresponding y-value.

Tags

CCSS.8.F.A.1

Front

How can you determine if a relation is a function using the vertical line test?

Back

If a vertical line intersects the graph of the relation at more than one point, it is not a function.

Tags

CCSS.8.F.A.1

Front

What is an example of a function?

Back

The set of ordered pairs {(1, 2), (2, 3), (3, 4)} is a function because each input has one output.

Tags

CCSS.8.F.A.1

Front

What is an example of a relation that is not a function?

Back

The set of ordered pairs {(1, 2), (1, 3)} is not a function because the input 1 has two different outputs.

Tags

CCSS.8.F.A.1

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with its output.

Tags

CCSS.8.F.A.1

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2