Flashcard 3-1: Relations & Functions REVIEW

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 relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element (x-value).

Front

Given the relation {(-3, 4), (6, 0), (-3, 4), (-8, -2)}, is it a function?

Back

No, it is not a function because the input -3 is associated with two outputs (4 and 4).

Front

What is an ordered pair?

Back

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

Front

What does the notation f(x) represent?

Back

f(x) represents the output of the function f for the input x.

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

Given the relation {(3, 4), (5, 0), (2, 4), (-5, -5)}, is it a function?

Back

Yes, it is a function because each input is associated with exactly one output.

Front

What is a mapping in the context of relations?

Back

A mapping shows how each element of the domain is paired with an element in the range.