Relations and Functions

Front

What is the range of a function?

Back

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

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x-value) and an output (y-value).

Tags

CCSS.8.F.A.1

Front

What is a function?

Back

A function is a special type of relation where each input (x-value) is associated with exactly one output (y-value).

Tags

CCSS.8.F.A.1

Front

What is the domain of a relation?

Back

The domain of a relation is the set of all possible input values (x-values) that can be used.

Front

How can you determine 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 (Vertical Line Test).

Front

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

Back

For a relation to be a function, each input must correspond to exactly one output.

Tags

CCSS.8.F.A.1

Front

What is an ordered pair?

Back

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

Tags

CCSS.5.G.A.1

Front

What is the difference between domain and range?

Back

The domain is the set of all x-values (inputs), while the range is the set of all y-values (outputs) of a function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is a mapping in relation to functions?

Back

A mapping shows how each element of the domain is paired with an element in the range.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.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 by checking if a vertical line intersects the graph more than once.