Angol Matematika

Mathematics definitions and rules (to 11.a)

Functions

-Def.: let two sets H and K be given. If we assign an element of set K to each element of H, then this assignment is called the function.

-Def.: set H is the domain of the function.

-Def.: set K is the range of the function.

-The functions will be denoted by letters, generally by f, g, h...

-It is common to denote the domain of the function f by Df and the range of the function f by Rf.If we do not declare the domain separately, then it is equal to the largest subset of real numbers allowed by the rule.

Description of a function

-Step 1: we give a set which will be the domain of the function (H)

-Step 2: we describe the set which should contain the assigned elements (K) The notation for the sets of assignment is H→K, pronounced H arrow K

-Step 3: we give the assigment (the rule of ordering)

Variables, values

-The elements of the domain are called variables while the elements of the range are called values.

-We can substitute the variable of the rule by any element of the domain and determine the corresponding function value.

Giving the rule of a function

-There are several ways to describe the rule of a function. It can be done -with a formula

-in words

-with tablets

-with graphs

-with diagrams

Function's equality                                                               

-Def.: functions f: H1→ K1 x→ f(x) and       g: H2→ K2 x→g(x) are said to be equal of and only if they have the same domain: H1=H2 and for any x element of set H we have f(x)=g(x)






Weblap látogatottság számláló:

Mai: 23
Tegnapi: 3
Heti: 41
Havi: 306
Össz.: 41 188

Látogatottság növelés
Oldal: Functions
Angol Matematika - © 2008 - 2024 - angolmatematika.hupont.hu

A HuPont.hu ingyen weblap készítő egyszerű. Weboldalak létrehozására: Ingyen weblap

ÁSZF | Adatvédelmi Nyilatkozat

X

A honlap készítés ára 78 500 helyett MOST 0 (nulla) Ft! Tovább »