Hello, Macleef!
I believe you have a typo in the problem . . .
[1] says the graph is rising when
[2] says the graph is falling when
Code:
: :
* : * : *
* : * : *
* : * : *
* : : *
    +    +  +     
3 0 1
[3] says the slope is 0 at
Those are extreme points (or turning points or stationary points). Code:
o :
: :
* : * : *
* : * : *
* : * : *
: o
: :
    +    +  +     
3 0 1
[4] tell us exactly where those extreme points are.
We can now sketch the curve.
Code:
(3,5) 
o  *
* * 
* *  *
*  *
* *
*  o
 (1,1)
    +    +  +     
3  1
