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

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Answer:(a) \((1,1)\), \(x=2\), \((0,\ln2+1)\), \((2-\frac1e,0)\); (b) \((2,0)\), \(x=\frac32\)

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