This is just 2/3 (depending on how many functions they give you) different graphs joined together. Good way to start sketching this is what yertle is talking about, finding the end points using the domain
For example: f(0)= 2/3(0)+3 = 3 , f(0)= 0+3=3, f(1)=1+3=4, f(1)= -2(1)+6=4 [q2]
After that, draw in little dots to see if the function joins together but typically it does and graph the separate functions together as one. Ultimately you could always draw the whole function then rub out what you don't need and, on the graph page of the cas calc. 1) press the 3 box button next to the book symbol , 2) choose which piece wise graph option you want, in this case the 6 box one (you can use the 4 box option in q4-6), 3) type in your function with the restricted domain after the comma symbol.
Good luck