Sketching a graph (Limits) that satisfies all these conditions? Help is appreciated. Help?

Question

ketch the graph of an example of a function that satisfies all of the given conditions.

lim f=1 (as x approaches 0^-)
lim f =-1 (as x approaches 0^+)
lim f=0 (as x approaches 2^-)
lim f=1 (as x approaches 2^+)
f(2)=1, and f (0) is undefined

How would I draw this?
If someone could help, that would be AMAZING.
I'm up ALL night trying to do this one question.
Maybe a little drawing paint? IDK, but ANY HELP would be greatly appreciated!

Answer 1

draw your x-y axes.

From the upper left or lower left (quadrant II or III) draw a line ending at (x=0,y=1) It doesn't matter if it is straight or curved.

From point (0,-1) draw a line to point (2,0), straight or curved.

From point (2,1) draw any line that extends out into quadrant I or IV. Include a dot on point (2,1).

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