2018 RVHS Promo Q2

2018 RVHS Promo Q2

5 marks

Promo

On the same axes, sketch the graphs of \(y=\frac{2}{x+a}\) and \(y=-b\left| x+a \right|\), where \(a\) and \(b\) are positive constants.[2]
Hence or otherwise, solve the inequality \(\frac{2}{x+a}>-b\left| x+a \right|\).[3]

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Answer:x < -a - √(2/b) or x > -a

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