Functions Flashcards
∈
means is an element of
:
means such that
ℤ
means set of integers
Q
means the set of rational numbers
ℝ
means the set of real numbers
define mapping
is any rule that associates two sets of items
define domain
the set of all possible inputs of a mapping
define range
the set of outputs for a specific set of inputs
types of mapping
one-to-one
one-to-many
many-to-one
many-to-many
one-to-one mapping
each object is mapped to exactly one image
one-to-many mapping
an object may be mapped to two or more different images
many-to-one mapping
two or more objects may be mapped to the same image
many-to-many mapping
an object may be mapped to two or more different images and vice versa
define function
is a mapping in which there is only one possible image for each object