Domain, Range, Functions

Front

What is the domain of a relation?

Back

The set of all x-values in a relation.

Front

What is the range of a relation?

Back

The set of all y-values in a relation.

Front

What is a function?

Back

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

Front

How can you determine if a relation is 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 an example of a function?

Back

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

Front

What is an example of a non-function?

Back

y^2 = x is not a function because one x can correspond to two y-values.

Front

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

Back

A function is one-to-one if it never assigns the same value to two different domain elements.

Front

What is the notation for domain?

Back

The domain of a function f is often denoted as D(f) or dom(f).

Front

What is the notation for range?

Back

The range of a function f is often denoted as R(f) or ran(f).

Front

What is a real-world example of a function?

Back

The relationship between the number of hours worked and the amount of money earned is a function.