Analysis and Approaches for IBDP Maths Ebook 1 | Page 98

Your Practice Set – Analysis and Approaches for IBDP Mathematics
3. The diagram below shows part of the graph of a function f .
� � �
The graph has a maximum at A � , 2�
�
�12
�
��
�
and a minimum at B � , � 2�
�
� 4 � .
The function f can be written in the form f ( x) � pcos( q( x � r))
, where 0
the value of
�
�r
� . Find
2
(a) p ;
(b) q ;
(c) r .
[2]
[2]
[2]
4. The diagram below shows part of the graph of a function f .
The graph has a maximum at A(6 � , 20) and a minimum at B(3 � , 0) .
The function f can be written in the form f ( x) � pcos( q( x � r)) � 10. Find the value of
(a) p ;
(b) q ;
(c) r .
[2]
[2]
[2]
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