<p>Sketch the curve $y=2-{{\mathrm{e}}^{3x}}$ for all real values of $x$, showing clearly on your diagram the coordinates of any points of intersection with the $x$- and $y$- axes.</p>
<p>Find the equation of a suitable straight line that can be drawn on the graph of $y=2-{{\mathrm{e}}^{3x}}$ to obtain a solution of the equation $x=\ln \sqrt[3]{4-x}$.</p>

Sketch the curve $y=2-{{\mathrm{e}}^{3x}}$ for all real values of $x$, showing clearly on your diagram the coordinates of any points of intersection with the $x$- and $y$- axes.

Find the equation of a suitable straight line that can be drawn on the graph of $y=2-{{\mathrm{e}}^{3x}}$ to obtain a solution of the equation $x=\ln \sqrt[3]{4-x}$.

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

Question 4751e245

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