Problem:
Compare the graphs of the functions
f(x) = x8 and g(x) = x2.
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) = x8 and g(x) = x10
- f(x) = x3 and g(x) = x7
- f(x) = x3 and g(x) = x4
[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.]