Apps. and Interpretation for IBDP Maths Ebook 1 | Page 54

Your Practice Set – Applications and Interpretation for IBDP Mathematics
14
Paper 1 – Mapping Diagrams
Example
The mapping diagram below represents the function f ( x)
�ax � b .
(a) Write down two equations in terms of a and b .
(b) Find the values of a and b .
(c) Find the value of c when f () c
� c .
[2]
[2]
[2]
Solution
(a) a�b� 7
A1 N1
5a�b� 47
A1 N1
(or �7a� b� � 73 )
(b) a � 10 , b �� 3
A2 N2
(c) c�10c� 3
(M1) for substitution
�9c
� � 3
1
c �
3
A1 N2
[2]
[2]
[2]
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