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Exponential and Logarithmic Functions - Sketching Logarithmic Functions and Solving Equations Graphically

Exponential and Logarithmic Functions - Sketching Logarithmic Functions and Solving Equations Graphically

IP 3

Sketch the graphs of each of the following functions, labelling the coordinates of axial intercepts and equations of asymptotes.

  1. \(y={{\log }_{\frac{1}{3}}}\left( 2x-1 \right)+2\)
  1. \(y=2\ln \left( 2-3x \right)\)

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Answer:(a) \((1,2)\), \(x=\frac12\), \((5,0)\); (b) \((\frac13,0)\), \(x=\frac23\), \((0,2\ln2)\)

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