*Problem:*

Compare the graphs of the functions
**f(x) = x**^{8} and **g(x) = x**^{2}.

*Visualization:*

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

**f(x) = x**^{8} and **g(x) = x**^{10}
**f(x) = x**^{3} and **g(x) = x**^{7}
**f(x) = x**^{3} and **g(x) = x**^{4}

**
[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**.]