+0  
 
0
135
3
avatar+946 

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
 #1
avatar+88871 
+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)

 

 

cool cool cool

CPhill  Feb 19, 2018
 #2
avatar+946 
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
avatar+88871 
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

 

 

cool cool cool

CPhill  Feb 19, 2018

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