Final answer:
Changing the function f(x)=2^x to f(3x) compresses the graph horizontally by a factor of three, resulting in a steeper appearance.
Step-by-step explanation:
When the function f(x)=2^x is changed to f(3x), the graph will compress horizontally by a factor of three.
This means that the x-values at which the function takes on certain y-values will be three times smaller.
For example, a point that was originally at (3, 8) on the graph of f(x) would be at (1, 8) on the graph of f(3x).
The graph will look steeper because for every unit increase in x, the function will increase as if x had increased by three units.