Page 47 - Math SL HB Sem 1
P. 47
I.'tlNC',uoNS, ti
Qtir\1 I0NS, INT](J IJA I,I'I'I I.,S
IrUN( t'toNs
I)tllrrition
,'\ lirrrction / , (or a rnapping) frorn a set X to a scl l'is a relation that assigns each elernent .r in
thc sct -\' to a rrnitlue elentent y in the set f,
y- -f(r) (irnage)
.l
llange
X Y
Dornain Co-dorrain
Wc rr ritc rlris nrapping as
f : x *> (x\
/
Dolrrairr, lt:rngc
l'.c sct 'Y is called the domain or ./ anrl the sc( trre co-domain. .fhe
y
tt' urrder )' -fhe range or / crement y is ca,ca the
l:'ll; is acrua,v a subsct ofy (somerimes it cour. arso be equal
-[ he d.rnai'and range of'a runctions can be determinetr by sketching the graph orthc
firnction or using algebraic approach.
t1l Ic I
[)ctcrnrine if thc equation x, + y, I is a function by usilg
=
a) Algebraic method
b) Vt: rtical Iine test
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