Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

Front

How can you determine if a mapping is a function?

Back

A mapping is a function if each input is associated with exactly one output.

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one input is associated with more than one output.

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

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 intersects the graph at more than one point, it is not a function.

Front

What is the significance of the x-value in a function?

Back

The x-value (input) in a function must be unique; no two ordered pairs can have the same x-value.

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is associated with exactly one input, meaning no two different inputs produce the same output.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs, showing how each input is paired with an output.