Solving Exponential Equations Graphically
Given the function $\displaystyle {f{{\left({x}\right)}}}={200}{\left({0.89}\right)}^{{x}}$ find x when $\displaystyle {f{{\left({x}\right)}}}={80}$ using your graphing calculator. Then follow the steps below to show the intersection graph on the computer. [Hint: Use the following window on your graphing calculator: Xmin = -5, Xmax = 10, Ymin = 30, Ymax = 210] Write the point of intersection as an ordered pair below. Round the value of $\displaystyle {x}$ to two decimal places. Use the Line Tool to draw the Horizontal Line $\displaystyle {y}={80}$. Use the Exponential Tool to draw $\displaystyle {f{{\left({x}\right)}}}={200}{\left({0.89}\right)}^{{x}}$. Use the Point Tool to identify the point of intersection.
$\displaystyle {200}{\left({0.89}\right)}^{{x}}={80}$ Point of Intersection: Clear All Draw:

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