Relations, Functions, Domain & Range

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?

Back

A relation is a function if no two ordered pairs have the same first element (x) with different second elements (y).

Tags

CCSS.8.F.A.1

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 intersects the graph at more than one point, it is not a function.

Front

Give an example of a function.

Back

An example of a function is f(x) = 2x + 3, where each input x has a unique output.

Tags

CCSS.8.F.A.1

Front

Give an example of a relation that is not a function.

Back

An example of a relation that is not a function is {(1,2), (1,3)}, where the input 1 has two different outputs.

Tags

CCSS.8.F.A.1

Front

What does it mean for a graph to be a function?

Back

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

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point in a coordinate system.

Tags

CCSS.5.G.A.1