Answer is points P and U can be included to keep the graph a function
Step by step
By using the graph, we can use the vertical line method to determine if the points will stay within a function. If the line hits two points on the vertical line, it is NOT a function. I drew a vertical green line on the attachment to help see where the vertical line will pass or fail.
Points P and U pass
Point that do not pass
Q line crosses at (-6,2) and (-6, -4)
R line crosses at (-3,2) and (-3,-7)
S line crosses at (1,6) and (1,0)
T line crosses at (5, -3) and (5, -5)