Apps. and Interpretation for IBDP Maths Ebook 1 | Page 143

3. The diagram below shows part of the graph of a function f .
12
The graph has a maximum at A(15 , 2 � ) and a minimum at B(45 , � 2 �)
.
The function f can be written in the form f ( x) � pcos( q( x � r))
, where 0 �r
� 45 .
Find the value of
(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(1080 , 20) and a minimum at B(540 , 0) .
The function f can be written in the form f ( x) � pcos( q( x � r)) � 10 , where
�1440 � r � � 720 . Find the value of
(a) p ;
(b) q ;
(c) r .
[2]
[2]
[2]
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