Domain and Range

Front

What is the definition of a function?

Back

A function is a relation in which each input (x-value) is associated with exactly one output (y-value).

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, the graph does not represent 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

How do you determine the domain of a function from a graph?

Back

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

Front

How do you determine the range of a function from a graph?

Back

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

Front

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

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Front

What is an example of a function?

Back

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

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 is associated with two different outputs.

Front

How can you find the domain and range of a set of ordered pairs?

Back

To find the domain, list all the unique x-values from the ordered pairs. To find the range, list all the unique y-values.