Relations, Functions, Domain and Range

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 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

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

What does it mean if a graph is not a function?

Back

A graph is not a function if there are x-values that correspond to more than one y-value.

Front

What are the x-values in a relation called?

Back

The x-values in a relation are called the domain.

Front

What are the y-values in a relation called?

Back

The y-values in a relation are called the range.

Front

How can you determine the domain of a graph?

Back

To determine the domain of a graph, identify all the x-values that the graph covers.

Front

How can you determine the range of a graph?

Back

To determine the range of a graph, identify all the y-values that the graph covers.

Front

What is an example of a function?

Back

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