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

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 graph 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. If a vertical line crosses the graph more than once, it is not a function.

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 (x) is associated with more than one output (y).

Tags

CCSS.8.F.A.1

Front

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

Back

Yes, this is a function because each input has exactly one output.

Tags

CCSS.8.F.A.1

Front

Example of a relation that is NOT a function: {(1,2), (1,3), (2,4)}. Why is this not a function?

Back

This is not a function because the input '1' is associated with two different outputs (2 and 3).

Tags

CCSS.8.F.A.1

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) where 'x' is the first element and 'y' is the second element.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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

How can you tell if a table of values represents a function?

Back

A table represents a function if no two rows have the same input value (x) with different output values (y).

Tags

CCSS.8.F.A.1