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 a mapping diagram?

Back

A mapping diagram is a visual representation of a function that shows how each input is paired with an output.

Front

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

Back

A relation is a function if every input has exactly 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

An example of a function is f(x) = x + 2, where each input x has a unique output.

Front

What is a non-function?

Back

A non-function is a relation where at least one input is related to more than one output.

Front

How can you tell if a mapping diagram represents a function?

Back

A mapping diagram represents a function if no input points to more than one output.

Front

How can you tell if a table represents a function?

Back

A table represents a function if each input value is unique and corresponds to only one output value.

Front

What is the 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 the domain of a function?

Back

The domain of a function is the set of all possible input values.