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

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

IP 3

Sketch the graph of \(y=3{{\mathrm{e}}^{-2x}}\). Find the equation of the straight line which must be added to the graph of \(y=3{{\mathrm{e}}^{-2x}}\) to solve \(3{{\mathrm{e}}^{2x}}=3-2x{{\mathrm{e}}^{2x}}\).

Solution:

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Answer:Decreasing exponential through \((0,3)\), with asymptote \(y=0\); add the line \(y=2x+3\).

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