Your Practice Set – Applications and Interpretation for IBDP Mathematics
( b ) Write down the minimum value of k .
( c ) Find the expression of
1
f � .
[ 1 ]
[ 3 ]
2 . The function f is defined as { x : x � c} such that
1
f � exists .
f x � x � x � . The domain of f is restricted as
2
( ) 8 40
( a ) Express f( x ) in the form
2 f ( x) a( x h) k
( b ) Hence , write down the maximum value of c .
( c ) Find the expression of
1
f � .
� � � , where a , h , k � . [ 2 ]
[ 1 ]
[ 3 ]
3 . The function f is defined as passes through ( � 14 , 4 ) . f ( x) 4 ( x h)
2 � � , h � 15
. It is given that the graph of f
( a ) Find h .
The domain of f is restricted as { x : x � k} such that
1
f � exists .
[ 2 ]
( b ) Write down the minimum value of k .
( c ) Find the expression of
1
f � .
[ 1 ]
[ 3 ]
4 . The function f is defined as { x : x � k} such that
1
f � exists .
f ( x) ( x 1 ) ( x 5 )
2 2
� � � . The domain of f is restricted as
( a ) Write down the coordinates of the local minimum of f which is closest to the origin .
( b ) Hence , write down the maximum value of k .
f can also be expressed as f ( x) (( 3 ) 4 )
2 2
� x � � .
[ 1 ]
[ 1 ]
( c ) Find the expression of
1
f � . [ 3 ]
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