Function or Not?

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

Is the relation (1,2), (2,3), (3,4) a function?

Back

Yes, it is a function because each x-value has only one corresponding y-value.

Tags

CCSS.8.F.A.1

Front

Is the relation (1,2), (1,3), (2,4) a function?

Back

No, it is not a function because the x-value 1 has two different y-values (2 and 3).

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

Front

If a function has an input of 5 and an output of 10, what can you say about this function?

Back

For the input of 5, the function produces a single output of 10, which is consistent with the definition of a function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does it mean if a function is not defined for a certain input?

Back

It means that there is no corresponding output for that input in the function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Tags

CCSS.8.F.A.1

Front

What is an example of a function?

Back

An example of a function is f(x) = x + 2, where each input x 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)}, where the input 1 has two different outputs.

Tags

CCSS.8.F.A.1

Front

What is the definition of a relation?

Back

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

Tags

CCSS.8.F.A.1