Functions

Front

What is the vertical line test used for?

Back

To determine if a relation is a function.

Front

What defines a function in terms of inputs and outputs?

Back

Every input has only ONE output.

Front

How can you tell if a table represents a function?

Back

Check if each input corresponds to exactly one output.

Front

What is a mapping diagram?

Back

A visual representation of how inputs are related to outputs.

Front

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

Back

An input is associated with more than one output.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, but each input must have only one output.

Front

What is an example of a function?

Back

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

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 has two different outputs.

Front

What is the significance of the domain in a function?

Back

The domain is the set of all possible inputs for the function.

Front

What is the significance of the range in a function?

Back

The range is the set of all possible outputs of the function.