A translated logarithmic curve

A translated logarithmic curve

6 marks
TGM Original

Sketch \(y=2\ln(2x+3)\), labelling both intercepts and any asymptote. State the domain and range.[6]

Solution:

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Answer:Domain \(x>-\dfrac32\), range \(\mathbb R\); \((-1,0)\), \((0,2\ln3)\); asymptote \(x=-\dfrac32\).

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