Relation and Function Flashcard

Front

What is a function in mathematics?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is paired with more than one y-value.

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers used to represent coordinates in a Cartesian plane, written as (x, y).

Front

What does the vertical line test determine?

Back

The vertical line test determines 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 domain of a function?

Back

The domain is the set of all possible input values (x-values) for a function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for a function.

Front

What does it mean for a relation to be one-to-one?

Back

A one-to-one relation is a function where each x-value is paired with a unique y-value, and each y-value is paired with a unique x-value.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between the elements of the domain and range of a function.

Front

What is the difference between a relation and a function?

Back

A relation is any set of ordered pairs, while a function is a specific type of relation where each input has exactly one output.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value has a unique y-value.