Page 47 - Math SL HB Sem 1

I.'t,NC',il()NS, E QtrAt roNS, INE QtrALrl't r,t.s

IruN(_ ilONS

I)efinition

A litnction / . (or a rnapping) irom a set X to a set )'is a relation thal assigns each elerncnl .r in
tlrc set .\' to:r unitlue element y in thc set }.

y,=f(r) (irnage)

llange

X Y
Domain (lo-domain

f : x t_+ ./.(x)
Wc ri ritc tlris mapping as
Dornain, ltangc

T'c set x is ca,e. the domain or./ and thc sct l'the co-domain. 'fhe
inrage rf 'Y under f rarrge of / is actua,y a subsct of y erementy is cared thc
to)) "fhe (sometimes it could arso be equar

'l hc dornai, and range of a lu.ctions can be determineti by sketching the graph of the

lirnction or using algebraic approach.

r)l lc I
-
Dctcrntine if thc equation x, + y, I is a lupction by using
a) Algebraic method
b) Ve rtical linc tcst

.i- I