Relations, Functions, Domain and Range

Front

What is a function?

Back

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

Tags

CCSS.8.F.A.1

Front

What is a relation?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

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-values) for a function.

Front

What is the range of a function?

Back

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

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is repeated in the ordered pairs.

Tags

CCSS.8.F.A.1

Front

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

Back

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

Front

What is an example of a function?

Back

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

Tags

CCSS.8.F.A.1

Front

What is 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 x-value 1 is associated with two different y-values.

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 is a function by checking if any vertical line crosses the graph more than once.

Front

What is the difference between domain and range?

Back

Domain refers to the set of input values (x-values), while range refers to the set of output values (y-values).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1