Relations and Functions Flashcard

Front

What is a relation in mathematics?

Back

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

Front

What is a function?

Back

A function is a special type of relation where each input is associated with exactly one output.

Front

How can you determine if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element (input) with different second elements (outputs).

Front

What is the domain of a relation?

Back

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

Front

What is the range of a relation?

Back

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

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input values increase, the output values also increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the input values increase, the output values decrease.

Front

What is a mapping diagram?

Back

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

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 a constant function?

Back

A constant function is a function that does not change; it has the same output value for every input.