Identifying functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If any vertical line intersects the graph more than once, then the graph is not a function.

Front

Which of the following is NOT a function?

Back

A relation where at least one input is associated with more than one output.

Front

How can you tell if a graph is a function?

Back

A graph is a function if it passes the vertical line test.

Front

What does it mean for a graph to pass the vertical line test?

Back

It means that any vertical line drawn through the graph intersects it at most once.

Front

What is an example of a function?

Back

The equation y = 2x + 3 is a function because for every x-value, there is exactly one y-value.

Front

What is an example of a relation that is NOT a function?

Back

The relation {(1, 2), (1, 3)} is not a function because the input 1 is associated with two different outputs.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.