Relations and Functions

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 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 a set of ordered pairs called?

Back

A set of ordered pairs is called a relation.

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 is the vertical line test?

Back

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

Front

What does it mean for a relation to be a function?

Back

For a relation to be a function, each input must correspond to exactly one output.

Front

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

Back

To find the domain, list all the first elements (x-values) of the ordered pairs.

Front

How do you find the range of a set of ordered pairs?

Back

To find the range, list all the second elements (y-values) of the ordered pairs.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with an output.

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.