Relation and Function

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

How can you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x-value) and an output (y-value).

Front

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

Back

A relation is a function if each input (x-value) is associated with exactly one output (y-value).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point in a two-dimensional space.

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method used to determine if a graph represents a function by checking if any vertical line intersects the graph more than once.

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value has only one corresponding y-value.

Front

What is the difference between a function and a non-function?

Back

A function has one output for each input, while a non-function has at least one input that corresponds to multiple outputs.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with its output.

Front

What is a domain in relation to functions?

Back

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