Problem:
Explore the sum f + g of the functions

f(x) = x3 - 4x
and
g(x) = 2 cos(x)


Visualization:
The following LiveMath Notebook evaluates the sum f + g and plots the graphs of f, g, and f + g. You can modify the functions f and g and see the resulting changes. View an animation to see how this can be done.

Which are the graphs of f, g, and the sum f + g? Answer

For which x is the brown graph higher than the red graph? Answer