Identifying functions

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Tags

CCSS.8.F.A.1

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one input is associated with multiple outputs.

Tags

CCSS.8.F.A.1

Front

How can you identify a function from a set of ordered pairs?

Back

A set of ordered pairs is a function if no x-value is repeated with different y-values.

Tags

CCSS.8.F.A.1

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, the graph does not represent a function.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs, showing how each input is paired with an output.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is an example of a function?

Back

The relation {(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 non-function?

Back

The relation {(1,2), (1,3), (2,4)} is not a function because the input '1' has two different outputs.

Tags

CCSS.8.F.A.1

Front

What does it mean for x-values to repeat in a function?

Back

If x-values repeat in a function, it means that the same input is associated with different outputs, which violates the definition of a function.

Tags

CCSS.8.F.A.1

Front

How can you tell if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once.

Front

What is the significance of ordered pairs in functions?

Back

Ordered pairs (x,y) show the relationship between inputs and outputs, helping to determine if a relation is a function.

Tags

CCSS.8.F.A.1