Analysis and Approaches for IBDP Maths Ebook 2 | Page 19

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4. The function f is given by f( x)
� 3 � x
, where x �� 3 , x � 3. On the same coordinate
plane, sketch the following graphs, showing clearly any asymptotes and any points
of intersection with the axes.
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(a) (i) y � f ( x)
,
(ii) y � f ( x ).
[6]
(b) Write down the number of solutions of the equation f ( x) � f ( x ) for
�3� x � 0.
[1]
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