Identify Functions

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

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

Is the relation (2,3), (2,4), (3,5) a function?

Back

No, because the x-value 2 has two different y-values (3 and 4).

Front

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

Back

Yes, because each x-value has only one y-value.

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one x-value is paired with more than one y-value.

Front

Identify the function from the following sets: (1,2), (2,3), (3,4) or (1,2), (1,3), (2,4)

Back

(1,2), (2,3), (3,4) is a function because each x-value is unique.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value gives a unique y-value.

Front

What is a relation?

Back

A relation is a set of ordered pairs, which can include functions.

Front

How can you determine if a relation is a function using a graph?

Back

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