NYJC Basic Graphing Techniques Assignment Q3

NYJC Basic Graphing Techniques Assignment Q3

4 marks
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On the same axes, sketch the graphs of \({{y}^{2}}=-3x\) and \(y=\ln \left( x+1.5 \right)\). Give the equations of the asymptotes and the exact coordinates of the point(s) where the curve crosses either axis. Hence solve \({{\left[ \ln \left( x+1.5 \right) \right]}^{2}}=-3x\).[4]

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Answer:\(x = 0.0466\) or \(x = -1.37\) (3 s.f.)

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