Analysis and Approaches for IBDP Maths Ebook 1 | Page 96

Your Practice Set – Analysis and Approaches for IBDP Mathematics
33
Paper 1 Section A – Properties of graphs
of trigonometric functions
Example
The diagram below shows part of the graph of a function f .
The graph has a maximum at A(5, 4) and a minimum at B(3, � 2) .
The function f can be written in the form f ( x) � psin( qx)
� r . Find the value of
(a) p ;
(b) q ;
(c) r .
[2]
[2]
[2]
Solution
(a) p
4 �( �2)
� (M1) for valid approach
2
� 3
A1 N2
(b) The period of the graph is 4.
2�
� � 4
(M1) for valid approach
q
�
q � A1 N2
2
(c) r
4 �( �2)
� (M1) for valid approach
2
� 1
A1 N2
[2]
[2]
[2]
88
SE Production Limited