Page 80 - Math SL HB Sem 1

lO . [Maxinum ,nark' 24]

1r
Let / (.r) = - ;-' i . lvhere p, q€ E[' .
p
r -q
Part of tlre graph of /, including &e asymptotes, is shorr,:n below.

I I
l0

I

6

4

t- -r
I I
0 I 23456
I I
I I
I I
4 I
I
-6 I

-3

,10
I
,
G) I'lre equations of dre asymptotes are x=I, x=-1 y=2. Write dorl'a &e
t-ahrc of
hrrt, 2
(rp P

N,s , al .l
(ii) s [2 maFkJ

ll . [tVoxtnum mark: 6]
w w

Consider the firoctron J G) : 4xj + Zx- Find the equation of the nonnal to the curve
of ;f at &e poiat where x = 1 - B9
hns" l'' i^ t
t4