+0

# Limits

0
46
3
+692

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

Julius  Feb 19, 2018
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#1
+84066
+1

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)

CPhill  Feb 19, 2018
#2
+692
0

Okay, but they say the point 2,1 exists. On that graph 2,1 is just put there. Is that allowed?

Julius  Feb 19, 2018
#3
+84066
0

Note that the piecewise function defines this point

It says that

f(x)  =  1   if   x  = 2

So...the point (2,1)  is on the graph

CPhill  Feb 19, 2018

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