2024 SJI P1 Q3

IB Year 5 | Grade 11

5 marks

The diagram below shows the graph of \(y=\mathrm f(x)\).

Sketch, in the space provided, the graph of \(y=\dfrac1{\mathrm f(x)}\), indicating clearly any asymptotes, stationary points and axial intercepts.[5]

Solution:

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Answer:Asymptotes \(x=1,x=4,y=\dfrac13\); maximum \((2.5,-1)\); \(y\)-intercept \((0,\dfrac13)\); open circle \((-2,0)\).

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