Firstly find x and y intercepts.
When y=0, 0=xln x
Therefore x=1, 0
So there is a mark on the origin and at (1,0)
If I investigate what happens as x approaches infinity.
(large number) ln (large number) = large number, so y -> infinity
Now we need to see if we have any maximum or minimum turning points,
d/dx(x ln x) = ln x+ 1
For stat points, dy/dx=0
ln x + 1=0
x=1/e, when x = 1/e y = -1/e
Nature testing:
Should get minimum.