So since the limit on the right and left or equal it means it's a polynomial function correct? So we know we have a point (2,1) and a possible point/approaches the point: (2,4). Maybe exponential(not a polynomial)? I'm a bit confused
Here's a possibility, Julius.....a piece-wise function
4 if x < 2
f(x) = 1 if x = 2
4 if x > 2
Here's a graph : https://www.desmos.com/calculator/qfyru2ciag
The graph doesn't show this well but there is a "hole" at (2,4)....this is "filled in" with the point (2,1)
Okay, but they say the point 2,1 exists. On that graph 2,1 is just put there. Is that allowed?
Note that the piecewise function defines this point
It says that
So...the point (2,1) is on the graph