MATHEMATICS
Grade 11
6
(Paper 1)
QUESTION 5
( )
In the diagram below
where, A (-2; 1) and B (0;-2) are points on the graph.
( )
x + 2 .
It is further given that
f(x)
A (-2; 1)
)
C
D
B (0; -2)
( ).
5.1
Derive the equations of the asymptotes of
(2)
Determine the equation of ( ).
5.2
(3)
5.3
Calculate the coordinates of Point D.
(4)
( )
5.4
Determine the equation of the function
which passes through the
Points B; C and D where Points C and D are the x-intercepts of the graph.
(5)
On ANSWER SHEET 1, draw a neat sketch of g ( )
x + 2
5.5
.
Clearly show all the intercepts and asymptotes of the graph.
(3)
Derive the equation of g (
)
5.6
(2)
( ).
5.7
Determine the range of
(1)
[20]
P.T.O.