Problem:
Graph the function

f(x) = x3 + 2 x + 4

and its inverse.


Visualization:
In the following MathView notebook, the graph of f is the red graph, the graph of its inverse is the blue graph and the black graph is the graph of the line y = x.

To change the value of any number, you must highlight the number with the mouse. To do this, you move the cursor to the number, press down the left mouse button and move across the number. After releasing the left mouse button you can then type the new value for the number. It is important that you ONLY highlight the number before you begin typing.

If you vary the coefficients of x, which of these coefficients make the function f not one-to-one? Answer