Sketch a graph that satisfies the following conditions 
Sketch the graph of an example of a function f(x) that satisfies all of the following conditions:
  

Here is what I have so far:

Am I on the right track? I think the graph satisfies all of the conditions, but the lines cross at about (2,3)- is that acceptable? I know there are probably a large number of ways to draw this, is there a better way I should be aware of?
EDIT #1

How does this look? Does the graph now satisfy the conditions?

While, you catches all of the conditions, except #3, which is at $(0,-1)$, which is an isolated point.
But your plot has multiple y values for $x \in (0,2)$, which is not right. 
What you should do is:
Connect $(2^+, -\infty)$ to $(+\infty, 3)$.    
