Apps. and Interpretation for IBDP Maths Ebook 1 | Page 218

Your Practice Set – Applications and Interpretation for IBDP Mathematics
3. The derivative of f is given by
A(6, 0) .
f � x � x � x � . The x -intercept of the graph is at
2
( ) 64 12
(a) Find an expression for f( x ).
(b) The graph of f passes through B(0, b ) . Write down the value of b .
(c)
Hence, find the area of the triangle OAB, where O is the origin.
[5]
[1]
[2]
200 20
4. The derivative of f is given by f�( x)
� � � , where x � 0 . The graph of f
3 2
x x
passes through the point A( � 10, 0) .
(a) Find an expression for f( x ).
[5]
The point B is a point above the x -axis with y -coordinate b . The area of the triangle
OAB is 100, where O is the origin.
(b) Find the value of b .
[3]
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