Functions

Front

What is a function in mathematics?

Back

A function is a relation where every input has exactly one output.

Front

What does it mean for a set of values to be a function?

Back

A set of values is a function if no two different inputs have the same 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, it is not a function.

Front

What is an example of a function?

Back

An example of a function is the set of ordered pairs: (1, 2), (2, 3), (3, 4).

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 the set of ordered pairs: (1, 2), (1, 3).

Front

How can you determine if a table represents a function?

Back

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

Front

What is the definition of a one-to-one function?

Back

A one-to-one function is a function where each output is associated with exactly one input.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has a unique output, while a relation can have multiple outputs for a single input.

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.