CCGPS CA 3.5.3 Example 2

At approximately what point does the value of $f(x)$ exceed the value of $g(x)$ if $f(x) = 2(4)^{\frac{x}{20}}$ and $g(x) = 0.5x$? Justify your answer with a graph.

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1. Make a general observation.
2. Create a table of values.
3. Graph both functions on the same coordinate plane.
4. Identify the approximate point where $f(x)$ is greater than $g(x)$.

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