Compare the graphs of the functions

f(x) = x8 and g(x) = x2.

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

[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.]