Analysis and Approaches for IBDP Maths Ebook 2 | Page 85

x � � �
4. The function f is defined as f ( x) �e cot �x
� �
� 4 � , �2 � x � 1.5 .
(a) Sketch the graph of y � f ( x)
, showing clearly any asymptotes and any points of
intersection with the axes.
[3]
7
(b) Let g( x) � f ( x)
� k , �2 � x � 1.5 . It is given that the equation gx� ( ) 0 has at
most one real root. Write down the range of values of k .
[2]
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