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 each input (x) is associated with exactly one output (y).

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) for which the function is defined.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y) that a function can produce.

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, then the relation is not a function.

Front

What does it mean for a function to be one-to-one?

Back

A one-to-one function is a function where each output value (y) is associated with exactly one input value (x).

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because for every x, there is exactly one y.

Tags

CCSS.8.F.A.1

Front

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

Back

The relation {(1, 2), (1, 3)} is not a function because the input 1 is associated with two different outputs.

Tags

CCSS.8.F.A.1

Front

What is the difference between discrete and continuous functions?

Back

Discrete functions have distinct, separate values, while continuous functions have values that form a continuous line or curve.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between the domain and range of a function.