Functions, Sequences, Sum Flashcards
Association of different things, objects, or numbers
Relations
Not all ____ are functions
Relations
Each element from the first set corresponds to ___ element on the second set
exactly one
A -> B
A is the DOMAIN of f and B is the codomain of f
f(a)=b
b is the IMAGE of a and a is the PREIMAGE of b
another statement for “f is a function from A to B’
f maps A to B
functions are sometimes called as _____ or _____
mappings or transformations
functions that never assign the same values to two different domain elements
one-to-one or injective
f(a) not + f(b) whenever a not = b
injective
happens when for all a and b the domain of f, provided that a<b></b>
strictly increasing function
happens when for all a and b the domain of f, provided that a<b></b>
strictly decreasing function
for every element bEB there is an element aEA with f(a)=b
onto ot surjective. surjection
both one-to-one and onto
bijection
sequence of numbers such that the difference between consecutive terms are constant
arithmetic sequence
ordered list of elements
sequences
