(13) Identifying Functions (8th)

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

How can you tell if a mapping is a function?

Back

A mapping is a function if no x-value is paired with more than one y-value.

Tags

CCSS.8.F.A.1

Front

Is the relation (1,5), (1,6), (1,7), (1,8), (1,9) a function?

Back

No, it is not a function because the x-value 1 is paired with multiple y-values.

Tags

CCSS.8.F.A.1

Front

What does it mean if a set of ordered pairs has repeating x-values with different y-values?

Back

It means the relation is not a function.

Tags

CCSS.8.F.A.1

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, the graph does not represent a function.

Front

Is the graph of a straight line a function?

Back

Yes, if it is not vertical, it represents a function.

Front

Which of the following is a function: (9,5) (10,5) (9,-5) (10,-5) or (6,-5) (7,-3) (8,-1) (9,1)?

Back

(6,-5) (7,-3) (8,-1) (9,1) is a function because no x-values repeat.

Tags

CCSS.8.F.A.1

Front

What is an example of a relation that is not a function?

Back

The relation (2,3), (2,4) is not a function because the x-value 2 is paired with two different y-values.

Tags

CCSS.8.F.A.1

Front

Can a function have negative numbers as outputs?

Back

Yes, a function can have negative numbers as outputs as long as each input has only one output.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, which can represent a function or not.

Tags

CCSS.8.F.A.1