FLASHCARD Functions, 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 domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

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 identify the domain from a set of ordered pairs?

Back

The domain can be identified by listing all the unique x-values from the ordered pairs.

Front

How do you identify the range from a set of ordered pairs?

Back

The range can be identified by listing all the unique y-values from the ordered pairs.

Front

What is a discrete graph?

Back

A discrete graph consists of distinct points that are not connected, representing a set of individual values.

Front

What is a continuous graph?

Back

A continuous graph is a graph that is unbroken and can be drawn without lifting the pencil, representing a range of values.

Front

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

Back

A relation is a function if each x-value is paired with only one y-value.

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.

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 x-value 1 is paired with two different y-values.