Everything looks fine on that, but the Mobility Radeon may mean you can't run it with the graphics slider turned all the way up to 9, as the part has only one-tenth the amount of shaders of the high-end graphics chips from ATi (and one-fourth the amount of shaders of the high-end ATi part from the last generation).
It's a laptop. You gotta remember that in order to make it small and portable, something's gotta give. Graphics processors are amazingly power-hungry and hot these days (over 100W), and that means you aren't going to see powerful chips in a system that is meant to run off batteries. You could get one of the "gaming laptops", but then you lose the main benefit of a laptop: portability and size.
edit:
Looks like you should be able to run the with the graphics somewhere in the middle, maybe higher, depending on what the specific graphics options enable as you move the slider up:
http://www.anandtech.com/video/showdoc.aspx?i=3420&p=5
Look for the 4550, which is about equivalent to the 4570 mobile part, then take the average of the results at 1024x768 and 1280x1024 resolutions (as the laptop has a 1366x768 resolution, which is almost smack dab in the middle of those two resolutions in terms of number of pixels).
It looks like the 4550 gets in the low to mid-20s fps (except in Crysis at high quality). With a game like TMI, that should be playable. Since TMI is much less graphically detailed than the games benchmarked, I doubt performance would be worse than that. I mean, the Telltame Games' graphics engine couldn't be all
that unoptimized, could it?