Function or Relation

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 relation?

Back

A relation is a set of ordered pairs, which can include functions but does not require that each input has a unique 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 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

Which of the following is a function? {(1,2), (2,3), (3,4)}, {(1,2), (1,3), (2,4)}

Back

The first set {(1,2), (2,3), (3,4)} is a function because each x-value is unique.

Tags

CCSS.8.F.A.1

Front

What does it mean if a relation is not a function?

Back

It means that at least one input (x-value) is associated with more than one output (y-value).

Tags

CCSS.8.F.A.1

Front

Identify the domain of the relation {(1,2), (2,3), (3,4)}.

Back

The domain is {1, 2, 3}.

Front

Identify the range of the relation {(1,2), (2,3), (3,4)}.

Back

The range is {2, 3, 4}.

Front

What is the output when the input is 2 in the function f(x) = 3x + 1?

Back

The output is 7, since f(2) = 3(2) + 1 = 7.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1