Hi, yes you can take a screenshot with this device. It's as simple as pressing and holding the on-screen 'button' that looks like 2 overlapping windows.
You can only take selfies with it as it only has a front facing camera for skype.
answered on 14 Jun 2014
I haven't taken screenshots yet, but I got this from an online e-manual for Asus MeMo Pad:
To capture a screen image, tap and hold
NOTE: To enable this setting, go to ASUS Customized Setting, tick Capture Screenshots by holding the Recent Apps Key
Hope this helps