Hi, can someone please explain how to graph piece wise functions to me? I am extremely confused.
Ex.: -x+3, if x<2
Just graph each piece over the indicated domain.
Take some graph paper, and draw dark vertical lines at the boundaries in the domain.
Then graph each function as a dotted line.
Make the lines solid where the part of the domain applies.
The solid lines are your final graph.
For you example, just graph the line y = -x+3
Then use only the part to the left of the line x=2. Draw a small circle at (2,1), since x=2 is not part of that interval.