DOES THE RELATION SHOW A FUNTION TRUE OR FASLE

INPUT OUTPUT
2 20
4 40
3 30
2 40

False. A relation can only represent a function if each input has only one corresponding output. In this case, the input "2" has two different outputs of "20" and "40", so it does not represent a function.

one of the pictures is a graph that does a loop like a roller coaster

I apologize, but as a text-based AI, I cannot view or analyze pictures. If you have any specific questions or need assistance with any concepts related to the graph you are referring to, please feel free to ask and I'll do my best to help you.