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
enumerated collection of objects in which REPETITIONS ARE ALLOWED
sequences
a sequence of numbers where each term after the first is found by multiplying the previous one with a fixed, non-zero number
geometric sequence
fixed nonzero number
ratio
