Your Practice Set – Applications and Interpretation for IBDP Mathematics
3 . The weight of a plate of perimeter l centimetres is W grams . It is given that W varies directly as l . When l � 256, W � 288.
( a ) |
Express W in terms of l . |
( b ) |
Write down the perimeter of a plate of weight 378 grams . |
The graph of W is transformed to the new graph of W �36 |
l�
3 by two
|
transformations . |
[ 2 ]
[ 1 ]
( c ) Describe geometrically for the two transformations . [ 2 ]
4 . It is given that f( x ) varies inversely as
2
x . Suppose that f ( 4 ) � 0.375 .
( a ) Express f( x ) in terms of x .
( b ) Write down the vertical asymptote of the graph of f( x ).
[ 1 ]
The graph of f( x ) is translated to the right by 3 units , followed by a vertical stretch of scale factor 4 to form a new function gx ( ).
[ 2 ]
( c ) Find the expression of gx ( ).
[ 2 ]
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