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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