Apps. and Interpretation for IBDP Maths Ebook 1 | Page 25

2. Consider the graph of the function
6
f( x) �3� 1�
x , x �1.
(a)
(b)
(c)
Find the y -intercept of the graph.
Write down the equation of the vertical asymptote.
Write down the equation of the horizontal asymptote.
[2]
[2]
[2]
3
3. Consider the graph of the function
f( x)
�
x � 2
x � 5
, x � 5 .
(a)
(b)
Write down the equation of the vertical asymptote.
Write down the equation of the horizontal asymptote.
(c) Write down the domain of f( x ).
(d) Let g( x)�
x . Write down the range of values of x such that f ( x) � g( x ) .
[2]
[2]
[1]
[2]
4. Consider the graph of the function
7x
�1
f( x)
� ,
2x
� 5
5
x � .
2
(a)
(b)
Write down the equation of the vertical asymptote.
Write down the equation of the horizontal asymptote.
(c) Write down the range of f( x ).
(d) Let g( x) �x �2
. Write down the range of values of x such that f ( x) � g( x ) .
[2]
[2]
[1]
[2]
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