Basically I know I have to put it in to a table, and calculate the values, graph it, and then determine from the graph what the max power will be.

Really just need someone to do the first couple of lines of a table for me, so that I can see what you have done. Going up in 1 ohm increments so that I can see that I have the right calculations. I can do the rest from there, and any help is much appreciated! I can't find my notes from this and covered it in October last year, exam next week... Yay...

I made a sheet in Excel.
Couldn't get a graph to print properly but you can verify numbers.
Don8 m8?

Thanks man, but how do I actually work out the value for the voltage at RL? I really am stumped xD

There are many ways, but I'll give you the fastest and easiest.

Use the formula:

((9V*RL) / (RL+R3))^2
----------------------------
RL

The top part of the equation is a voltage divider. It finds the voltage of RL.
Then P = V^2/R
So the top part of the equation is squared, and the bottom part is divided by the resistor in which the power is wanted.

Thanks man... If I remember correctly, I was in hospital when we covered this stuff, so I am only semi understanding a lot of it... Donation en-route!

If you have any other questions related to this let me know and I'll PM you.
Right now I am majoring in Electrical & Electronics Engineering so I know this stuff out of the back of my head no problem!