Representing Relations and Functions

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 vertical line test?

Back

The vertical line test is a method to determine if a relation is a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

If a relation has the pairs (1,2), (2,3), (3,4), is it a function?

Back

Yes, because each input has exactly one output.

Tags

CCSS.8.F.A.1

Front

If a relation has the pairs (1,2), (1,3), (2,4), is it a function?

Back

No, because the input '1' has two different outputs (2 and 3).

Tags

CCSS.8.F.A.1

Front

What does it mean for a function to be one-to-one?

Back

A one-to-one function is a function where each output is associated with exactly one input.

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because for every x, there is one unique y.

Tags

CCSS.8.F.A.1

Front

What is an example of a non-function?

Back

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

Tags

CCSS.8.F.A.1

Front

How do you find the domain of a function given a set of ordered pairs?

Back

List all the first elements (x-values) from the ordered pairs.