CCGPS CA 3.5.3 Example 2

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

[list=1] [*]Make a general observation. [*]Create a table of values. [*]Graph both functions on the same coordinate plane. [*]Identify the approximate point where [math]f(x)[/math] is greater than [math]g(x)[/math]. [/list]