Apps. and Interpretation for IBDP Maths Ebook 1 | Page 34

Your Practice Set – Applications and Interpretation for IBDP Mathematics
2. Let
f x � � x � x � .
2
( ) 2 14 12
(a) Factorize f( x ).
(b) Write down the x -intercepts of the graph of f .
f( x ) reaches its extreme value at y � 12.5 .
[2]
[2]
(c) Write down the range of f .
[1]
3. Let f ( x) � a( x � p)( x � q)
.
The graph of f( x ) passes through the points (5, 0) , (10, � 7.5) and (11, 0) .
(a) Write down the value of p and of q .
(b) Find the value of a .
The y -coordinate of the vertex of f( x ) is � 13.5 .
[2]
[3]
(c) Write down the range of f .
[1]
4. Let f ( x) � a( p � x)( x � q)
.
The graph of f( x ) passes through the origin, (15, 30) and (18, 0) .
(a) Write down the value of p and of q .
(b) Find the value of a .
The y -coordinate of the vertex of f( x ) is 54.
[2]
[3]
(c) Write down the range of f .
[1]
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