Grade 11 Mathematics (Paper 1) Worksheet - Gauteng Department Of Education - With Answers - 2016 Page 7
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9MATHEMATICS
Grade 11
7
(Paper 1)
QUESTION 6
During the 2015 Cricket World Cup, South African captain AB de Villiers hit the
ball with great force. After leaving his bat, the height of the ball, above the ground in
2
h x
( )
x
4
x
metres, after x seconds, is expressed as
.
6.1
Determine the domain of h(x).
(2)
.
2
6.2
h x
( )
a x p
(
)
q
Re-write this equation in the form
(3)
6.3
Sketch the graph of h(x) on ANSWER SHEET 2.
Clearly show all the significant points.
(4)
6.4
The graph of h( ) is moved horizontally by five units to the right.
Determine the equation of this new graph in the form of y =
.
(3)
x .
6.5
Determine the equation for k(x), if k(x) is the reflection of h(x) in the line
0
(2)
(
)
(
)
2
The average gradient of the graph p(x) =
x
is given as
between the
6.6
(
)
points x = –3 and x = –1.
Determine the value of the average gradient.
(3)
[17]
TOTAL:
100
END
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