Identifying Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Tags

CCSS.8.F.A.1

Front

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

Back

A mapping represents a function if each input is paired with exactly one output.

Tags

CCSS.8.F.A.1

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

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 any vertical line crosses the graph more than once.

Front

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

Back

A table represents a function if each input value corresponds to only one output value.

Tags

CCSS.8.F.A.1

Front

Can a set of ordered pairs represent a function?

Back

Yes, a set of ordered pairs represents a function if no two pairs have the same first element with different second elements.

Tags

CCSS.8.F.A.1

Front

What is an example of a function?

Back

The mapping {(1, 2), (2, 3), (3, 4)} is a function because each input has a unique output.

Tags

CCSS.8.F.A.1

Front

What is an example of a non-function?

Back

The mapping {(1, 2), (1, 3)} is not a function because the input '1' has two different outputs.

Tags

CCSS.8.F.A.1

Front

What is the definition of a domain in a function?

Back

The domain is the set of all possible input values (x-values) for a function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the definition of a range in a function?

Back

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1