Identifying Functions

Front

What is a function?

Back

A function is a relation where every input has only ONE output.

Front

What are the inputs in a function called?

Back

Inputs are also known as x-values.

Front

What are the outputs in a function called?

Back

Outputs are also known as y-values.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values).

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values).

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is repeated with different y-values.

Front

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

Back

A one-to-one function means that each output is paired with exactly one input.

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3.

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)}.