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

Can a function have multiple outputs for a single input?

Back

No, a function cannot have multiple outputs for a single input; each input must correspond to exactly one output.

Front

What does it mean if a mapping diagram is a function?

Back

It means that every input in the domain is connected to exactly one output in the range.

Front

How can you tell if a table represents a function?

Back

A table represents a function if no two rows have the same input value with different output values.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x, 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 associated with multiple outputs.

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.