Page 64 - Math SL HB Sem 1

t\i.{THEI\lATICS Standard Leyel

F{:

a) d/ = l-€o,.o[{0} (b) d. = l--co, oo[{-l } (c) d,i = ]'--@, @[{l }
) )

I
I
I
I
I I ----2 T'
I
(0,1) I
I
,l
Asymptoles: venical- r = 0 Asymptotcs: venical, r = I
horizon.al,Y = I horizontal. ) = 0

a) The efffect of the '2' in the ? term is to srre(ch the graph of )' = I along the )'-axis by a
_l

factor of 2. The '-ve' in front of the ? term r'r'itl reflect the the graph of y = ? about the
x^
;r-axis- Aclding '2'to the graph of ) = -? will moYe the graPh up'2'units
r
The domain of this funcrion is giYen by l-oc' cot \ {O} and it has t$'o asymPtotes The
verrical asymptote is at r = O and the horizontal asymP(ote is at = 2'
-1

To find the r-intercePt, set y 0:
=
?..., = t
oc>2 =
=
t =
) -XX o ",2-?

]-t7