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Grade 12
Lies PT
QUESTION 4
Consider the sketch below showing the graphs of: g(x)=-
f(x)=2m+n, with asymptotes at x = 1 and y = -2.
f(x)
D
E
-2
k
+q and
x-P
F(2,6)
FS/June 2023
g(x)
x
Determine the equation of g(x) by finding the values for k, p and q .
4.2 Determine the equation of f(x).
4.3 Write down the range of f(x).
4.4 Write down the domain of g(x).
4.5 Determine the equation of the axis of symmetry of g(x) which has a positive gradient.
4.6 ED is a line parallel to the y-axis, with point E on the x-axis, point C on f(x) and
point D on g(x). If the length of OE = 3 units, find the length of CD.
(4)
(3)
(1)
(1
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