Analysis and Approaches for IBDP Maths Ebook 1 | Page 51

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2. Let
3
x �2x�3
f( x)
� , for �1� x � 7.
e x
(a) Find the x -intercept and the y -intercept of the graph of f .
(b)
The graph of f has a maximum at the point A . Write down the
coordinates of A .
(c) On the following grid, sketch the graph of f .
[3]
[2]
[3]
4
3. Let
0.3x
f( x) �e � 3, for 5 x 5
� � � .
(a) Find the x -intercept of the graph of f .
(b) Write down the equation of the horizontal asymptote of f .
(c) On the following grid, sketch the graph of f .
[2]
[2]
[3]
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