Function vs Non Function

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 is a non-function?

Back

A non-function is a relation where at least one input (x-value) has more than one output (y-value).

Tags

CCSS.8.F.A.1

Front

How can you determine if a relation is a function using a graph?

Back

A relation is a function if any vertical line drawn on the graph intersects the curve at most once (Vertical Line Test).

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a graph represents a function by checking if a vertical line crosses the graph more than once.

Front

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

Back

A set of ordered pairs represents a function if no two pairs have the same first element (x-value) with different second elements (y-values).

Tags

CCSS.8.F.A.1

Front

Example of a function: (2, 3), (3, 4), (4, 5). Is this a function?

Back

Yes, this is a function because each x-value is unique.

Tags

CCSS.8.F.A.1

Front

Example of a non-function: (1, 2), (1, 3), (2, 4). Is this a function?

Back

No, this is not a function because the x-value '1' has two different y-values (2 and 3).

Tags

CCSS.8.F.A.1

Front

What is a mapping diagram?

Back

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

Front

If a relation has the pairs (1, 2), (2, 3), (3, 4), what type of relation is it?

Back

It is a function because each input has a unique output.

Tags

CCSS.8.F.A.1

Front

If a relation has the pairs (5, 6), (5, 7), (6, 8), what type of relation is it?

Back

It is not a function because the input '5' has two different outputs (6 and 7).

Tags

CCSS.8.F.A.1