Sketch the graph of: .
Indicate the coordinates of important points clearly.
By inspection, we see that the -intercepts are: .
Since has multiplicity 2, the graph is tangent to the -axis there.
If , then: . . . . y-intercept
Using calculus, we find that is a critical value,
. . and that is a maximum point.
The graph looks like this:Code:| * | (1,4) | o * | * * * (0,2)o * * * | - - - - - - o - - + - - + - - o - - (-1,0) | (2,0) | | * |