Relasi dan Fungsi
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R e l a s i
R e l a s i
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R
Re
ella
as
si
i d
da
arri
i h
hiim
mp
pu
un
na
an
n A
A k
ke
e h
hiim
mp
pu
un
na
an
n B
B
a
ad
da
alla
ah
h a
attu
urra
an
n y
ya
an
ng
g m
me
en
ng
gh
hu
ub
bu
un
ng
gk
ka
an
n a
an
ng
gg
go
otta
a--a
an
ng
gg
go
otta
a
h
him
impu
puna
nan
n A
A d
den
enga
gan
n an
angg
ggot
ota
a-a
-an
ngg
ggot
ota
a h
hiim
mpu
pun
nan
an B
B
..
Pengertian Relasi
Pengertian Relasi
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Pe
Pengngamambibilalann dadatata memengngenenaiai pepelalajajararann yayangng d
diissuukkaaii ppaaddaa eemmppaatt ssiisswwaa kkeellaass VVIIIIII ddiippeerroolleehh sep
sepertertii papadada tatabebell beberirikukut.t.
A
A == {Buyung,{Buyung, Doni,Doni, Vita,Vita, Putri}Putri}
B ={IPS, kesenian, keterampilan, olahraga, B ={IPS, kesenian, keterampilan, olahraga,
matematika, IP
matematika, IPA, bahasa A, bahasa Inggris}Inggris} a)
a) Dengan diagram panahDengan diagram panah
c
c))
D
De
en
ng
ga
an
n
h
hiim
mp
pu
un
na
an
n
p
pa
as
sa
an
ng
ga
an
n
berurutan
berurutan
R
R
=
=
{{((B
Bu
uy
yu
un
ng
g,,
IIP
PS
S)),,
((B
Bu
uy
yu
un
ng
g,,
k
ke
es
se
en
niia
an
n)),,
((D
Do
on
nii,,
ke
ketter
eram
ampi
pila
lan)
n),, (D
(Do
oni
ni,, o
ola
lahr
hrag
aga)
a),,
((V
Viitta
a,, IIP
PA
A)),, ((P
Pu
uttrrii,, m
ma
atte
em
ma
attiik
ka
a)),,
(P
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F u n g s i
F u n g s i
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fungsi (pemetaan)
fungsi (pemetaan) dari himpunan A
dari himpunan A ke
ke
himpunan B adalah relasi khusus yang
himpunan B adalah relasi khusus yang
memasangkan setiap
memasangkan setiap anggota A
anggota A dengan tepat
dengan tepat
satu anggota B.
satu anggota B.
Syarat suatu relasi merupakan pemetaan atau fungsi
Syarat suatu relasi merupakan pemetaan atau fungsi
Pengertian fungsi
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D
Dii a
an
ntta
arra
a rre
ella
as
sii y
ya
an
ng
g d
diis
sa
ajjiik
ka
an
n p
pa
ad
da
a d
diia
ag
grra
am
m p
pa
an
na
ah
h
be
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Notasi Fungsi
Notasi Fungsi
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Nilai fungsi
Nilai fungsi
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1)
1)
P
Pe
errh
ha
attiik
ka
an
n
diia
d
ag
grra
am
m
p
pa
an
na
ah
h
di
diba
ba
h
h in
ini.
i.
b)
b)
Kodomain
Kodomain
c)
c)
range
range
ontoh
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2)
2)
Diketahui fungsi
Diketahui fungsi ff didefinisikan sebagai
didefinisikan sebagai f
f (( x
x ) = 2
) = 2 x
x
2
2
–
–
3
3 x
x + 1. Tentukan nilai fungsi
+ 1. Tentukan nilai fungsi f
f (( x
x ) untuk
) untuk
(i)
(i) x
x = 2
= 2
(ii)
(ii) x
x =
=
–
–
3
3
Penyelesaian :
Penyelesaian :
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