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 \(y={{\mathrm{e}}^{2x-1}}\) for \(-\frac{1}{2}\le x\le 1\). Find the equation of a suitable straight line that can be inserted to solve the equation \(2x-1=\ln 5+\ln \left( 1-x \right)\).
Solution:
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Answer:Curve \(y=e^{2x-1}\) on \(-\dfrac12\le x\le1\), endpoints \(\left(-\dfrac12,e^{-2}\right)\), \((1,e)\); required line \(y=5-5x\).
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