3
8 . The function f is defined as f ( x) �2e cot ( x � 0.5 ) , �3.5 � x � 0 .
� x
( a ) Sketch the graph of y � f ( x)
, showing clearly any asymptotes and any points of intersection with the axes .
[ 3 ] y
4
2
( b ) Let g( x) � f ( x)
� k , �3.5 � x � 0 . It is given that the equation gx� ( ) 0 has two real roots . Write down the range of values of k .
[ 2 ]
© SE Production Limited 12 All Rights Reserved 2021