Apps. and Interpretation for IBDP Maths Ebook 1 | Page 46

Your Practice Set – Applications and Interpretation for IBDP Mathematics
Exercise 11
1. The function f( x ) is defined as f ( x)
�a � b �x , where ab� , 0. The graph of f( x )
intersects the y -axis at (0, 9) .
(a) Find the value of a .
The graph of f( x ) passes through
(b) Find the value of b .
� 262 �
�3,
�
� 27 � .
(c) Write down the equation of the horizontal asymptote of the graph of f( x ).
[2]
[2]
[2]
x
2. The function gx ( ) is defined as g( x) � p�q
� 7, where pq� , 0. The graph of gx ( )
intersects the y -axis at (0,11) .
(a) Find the value of p .
The graph of gx ( ) passes through (2, 8) .
[2]
(b) Find the value of q .
(c) Write down the range of f( x ).
[2]
[2]
�
3. The function gx ( ) is defined as g( x) � 3�2 px � q , where p � 0. The graph of gx ( )
passes through (0, 2) and ( � 2, 47) .
(a) Find the values of p and q .
(b) Find the x -intercept of the graph of gx. ( )
(c) Write down the number of solutions of gx�� ( ) 2.
[4]
[2]
[1]
36
SE Production Limited