5. DefinitionNumber Pair (x, y) with x is first order and y is
second order thensaid Sequence couple Example 2.1 : Point A (2,3)
is value absis x = 2, ordinat y = 3 Point A (2,3) different with
point B(3,2)If A and B is two compilation a not empty, then
Cartesius productcompilation A and B is all compilation sequence
couple (x,y) with x Aand y B. write : A x B = {(x,y) | x A and y
B}For Example 2.2 :A = {4,5,6} and B= {0,2}, definite :a. A x Bb. B
x AAnswer : a. A x B = {(4,0),(4,2),(5,0),(5,2),(6,0),(6,2)}b. B x
A = {(0,4), (0,5),(0,6),(2,4),(2,5),(2,6)}
6. DefinitionFor example A x B is Cartesius product compilation
A and B, thenrelation R from A to B is compilation of any kind part
for Cartesiusproduct A x B.Example 2.3 :Back Attention example 2.2
. A = {4,5,6} and B= {0,2},The Cartesius product A x B can be found
some componentcompilation for A x B is :a. R1 =
{(4,0),(5,0),(5,2),(6,2)}b. R2 = {(4,0),(4,2),(5,0),(5,2),(6,0)}c.
R3 ={(4,0),(5,0),(6,0)} 4 0 5 62
7. Compilation-compilation R1, R2, and R3 is part compilation
forcartesius product A x B is a familiar as relation for
compilation Ato compiltion B.From on explanation, the relation R =
{(x ,y) | x A and y B}can be matter that isa. Compilation first
ordinat ( absis) from sequence couple (x,y) that is origin area
(domain ) relation Rb. Compilation B that is companion area
(kodomain) relation R.c. Part Compilation from B with x R y or y B
that is output area (range) relation R.
8. DefinitionRelation from compilation A to compilation B that
isfunction or cartography, if each element(component) on
compilation A exact form a pair onlywith a element (component ) on
compilation B.For example f is a function or cartography
fromcompilation A to compilation B, then function f can besymbol
with f :AB
9. 0 0Picture 2.3. The 0 function f can be write 0that is f : x
y = f (x) 0For example, x A, y B that (x,y) f , then y is chart or
imagination from xby function f. the chart or imagination can be
said with y = f(x), you can see apicture 2.3. So, the function f
can be write that is f : x y = f (x)for example, f : A B, thena.
Origin area (domain) function f is compilation A and the symbol
with Dfb. Companion area (kondomain) function f is compilation B
and thesymbol with Kf , andc. Output area (Range) function f is
compilation from all chart A in B andthe symbol with Rf.
10. Example1. What is a diagram a function or not, and give
reason ? F H A ABB aak k b bl l ccm m d d
11. Answer :a. Relation F is function because every component
compilation A connection with exact one component compilation B.b.
Relation H isnt function because be found one component compilation
A, that c isnt use companion in B2. Definite domain, kodomain, and
range from function f the indication by bow and arrow diagram ? FA
B Answer : a. Compilation A = {a,b,c,d} is origin area or
a.>domain from f is Df = {a,b,c,d} .4b..5 b. Compilation B =
{4,5,6,7,8} is companion>.6area or kodomain from function f, is
Kf =c. .7{4,5,6,7,8} .8 d. c. Range or output area from function f
is Rf= {4,5,6}