1.6 & 1.7: Relations and Functions

Front

What is a relation in mathematics?

Back

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

Front

What is a function?

Back

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

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

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 a mapping diagram?

Back

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

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers (x, y) that represent the coordinates of points in a Cartesian plane.

Front

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

Back

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

Front

What is a vertical line test?

Back

The vertical line test is a method used 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 difference between discrete and continuous functions?

Back

Discrete functions have distinct, separate values, while continuous functions have values that form a continuous line or curve.