Functions, Domain & Range

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 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

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

Which of the following is NOT a function: {(1,-5), (3,1), (-5,4), (4,-2)} or {(1,-5), (-1,6), (1,5), (6,-3)}?

Back

{(1,-5), (-1,6), (1,5), (6,-3)} is NOT a function because the input '1' has two different outputs.

Tags

CCSS.8.F.A.1

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, which can include functions but is not limited to them.

Tags

CCSS.8.F.A.1

Front

What is an example of a function?

Back

An example of a function is {(1,2), (2,3), (3,4)} where each input has a unique output.

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), (2,4)} because the input '1' has two outputs.

Tags

CCSS.8.F.A.1

Front

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

Back

A mapping is a function if every input is associated with exactly one output.

Tags

CCSS.8.F.A.1

Front

If a function has a domain of {1, 2, 3}, what can be said about its range?

Back

The range can vary, but it must have outputs corresponding to each input in the domain.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1