3-1 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 (x) is associated with exactly one output (y).

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 domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

Identify the domain of the relation {(0,1), (1,-3), (2,-4), (-4,1)}.

Back

D: {-4, 0, 1, 2}.

Front

Identify the range of the relation {(0,1), (1,-3), (2,-4), (-4,1)}.

Back

R: {-4, -3, 1}.

Front

What does it mean for a table to represent a function?

Back

A table represents a function if each input value (x) corresponds to exactly one output value (y).

Front

What is the Vertical Line Test?

Back

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

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point in a coordinate system.