*Problem:*

Compare the graphs of the functions
**f(x) = x**^{- 3} and **g(x) = x**^{- 5}.

*Visualization:*

In the following LiveMath Notebook, you can view the graphs of **y = f(x)**
(blue graph) and **y = g(x)** (red graph).
You can change the function in the notebook above. Try

**f(x) = x**^{-4} and **g(x) = x**^{-8}
**f(x) = x**^{-3} and **g(x) = x**^{-8}
**f(x) = x**^{-3} and **g(x) = x**^{-1}

**
[To change the definition of ****f(x)** in the notebook above, highlight the exponent in
right-hand
side of the second equation and then type in the new exponent.
Do not forget to also change the first equation which is the formula for **g**.]