Analysis and Approaches for IBDP Maths Ebook 2 | Page 38

Your Practice Set – Analysis and Approaches for IBDP Mathematics
2. The real root of the equation
for each of the following.
� � � � is � 2.25 . Determine the real root
3 2
4x 17x 30x
27 0
(a)
(b)
3 2
4x �17x �30x
� 27 � 0
3 2
108x �153x �90x
� 27 � 0
[2]
[2]
3. Consider the function
f x � �x � x � x � , x� . The graph of f is translated
4 3
( ) 4 5 3
four units to the right to form the function gx. ( ) Express gx ( ) in the form
4 3 2
ax �bx � cx � dx � e , where a , b , c , d , e� .
[5]
4. Consider the function
4 2
f ( x) � 2x �5x
� 2, x� . The graph of f is translated
one unit to the left and then stretched vertically with scale factor 2 to form the function
gx. ( ) Express gx ( ) in the form
4 3 2
ax �bx � cx � dx � e , where a , b , c , d , e� .
[5]
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