SET, RELATIONS AND FUNCTIONS SET Flashcards
- a collection of well-defined objects
SET, RELATIONS AND FUNCTIONS
SET
2 ways of representing a set:
The Roster Method
Set-Builder Notation
Used to represent a set by listing each
element of the set inside a pair of
braces
The Roster Method
Used to represent a set, by describing
its elements.
Set-Builder Notation
are used to separate
the elements.
Commas
is the set that contains no elements.
EMPTY SET/NULL SET ( { } , ∅ )
The number of elements in the set.
CARDINAL NUMBER OF A FINITE
SET
if and only if they have exactly
the same elements.
Equal
the set of all elements that are being
considered
UNIVERSAL SET
a set of ordered pair of mathematical
quantities.
RELATION
is the set of
first coordinates of the ordered pairs of
that relation
The domain of a relation
is the set of
second coordinates of the ordered
pairs of that relation.
The range of a relation
is the set of
points in the plane that correspond to
the ordered pairs of that relation
The graph of a relation
f is a special type of a relation such that no two ordered pairs of the set have different second coordinates corresponding to the same first coordinate
FUNCTIONS
The set of all the first coordinates of the
ordered pair
domain of the
function