Page 64 - Math SL HB Sem 1

\,i.4TIIEl\lATICS Standard LeYel

}
d/ = l-{o, con{0} (b) ds = l -*, *t\{'-l (c) di = 1---@, ot\i I )
v

I
I
I
I
I
i T-
(0,1)
I
-t

Asymp(otes: vcnical,r = 0 Asymptoles: ledcal.r = -I
horizontal,, = I honzontai.) = 0

:.
a) The emect of the '2' in the ? term is to stretch the graPh of ), = I along the )'-axis by a

factorof2.The'-ve'infrontofthe?termwillreflectthethegraphof)=?aboutrhe
L'I

r'-axis. Adding '2'to the gmPh of :' = -? \xill move tbe graph up'2'units'
-I
The domain of this funcrion is giYen by l-!'. -[ {0} and it has two asymptotes. The
\
venical asymptote is at.,t.' = O and the horizontal asymptote is at -r'= 2

To find the x-intercept, set = 0:
-v
?.'-. t
-xir
=
) t -- o o2-2- o<:,2 = =
l
lr

3- t7