I used to thick of functions as "The scary blue boxes", sorry I don't remember who first referred to them as that. I am now becoming a real Function Junkie, not as advanced as some but learning all the time and the more I learn the more I use them.
As you say you are I was getting nowhere looking at the clips and tgds that had been posted until I found and worked through a series of four function tutorials in the Terragen 2 Documentation / User-contributed Tutorials section.
These are:
A function only Landscape : Part One - A Pyramid
http://forums.planetside.co.uk/index.php?topic=1166A function only Landscape : Part Two - Linear Dunes
http://forums.planetside.co.uk/index.php?topic=1167A function only Landscape : Part Three - A Detour into Perlin's Noise
http://forums.planetside.co.uk/index.php?topic=1168A function only Landscape : Part Four - Putting it all together
http://forums.planetside.co.uk/index.php?topic=1169I will admit that I had a fair idea about the math but these tutorials showed me how to set up functions in TG2.