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Mathematics - Function - Continuous / Discontinuous

In this application we study the graph of the function given by:
  f(x) = 0.5x2      x < 1
  f(x) = x + 1      x > 1 
This function is continuous at all points except at the point x = 1.


By default we have a point (a,f(a)) = (2,f(2)) on the graph.
Use the slider to see how we come closer and closer to this point when moving both from left and right.

Move the point a on the x-axis to the position a = 1.
Again use the slider to see how we this time missucceed coming closer and closer to the same value when moving both from left and right.

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