Hello, rawkstar!

I believe the graph looks something like this.

Code:

| P
| o *
| * :* * :
1 + o : * * :
| * : : * :
| * : : : :
| : : : :
| * : : : :
- - + - - - + - - - + - - - + - - - + - -
| 1 2 3 4

At , the slope is about

The graph passes through (1,1) and when it reaches (point )

. . the slope has decreased to

Then the slope suddenly changes to

The slope gradually increases to at (rel. minimum)

. . and continues increasing to

We are told that the function is *continuous*.

So at point , the two "halves" of the graph join up.

Hence, there is a relative maximum at