Analysis and Approaches for IBDP Maths Ebook 1 | Seite 156

Your Practice Set – Analysis and Approaches for IBDP Mathematics
52
Paper 1 Section B – Properties of graphs
Example
x �1
Let f( x)
�
2
2x
�x�1
for �4� x � 4,
1
x �� , x � 1. The graph of f is given below.
2
The graph of f has a local maximum at A(0, � 1) and a local minimum at B .
2
2x
� 4
x
(a) Use the quotient rule to show that f�( x)
��
.
2 2
(2x
�x�1)
[6]
(b) Hence find the coordinates of B .
[7]
(c) Given that the line y� k does not meet the graph of f , find the possible values
of k .
[3]
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