SOLUTION: Give an example of a function which is differentiable at all points except 1,2,3.

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Question 1147484: Give an example of a function which is differentiable at all points except 1,2,3.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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A good, standard and typical example is the function


    y(x) = |x-1| + |x-2| + |x-3|,


the sum of the three absolute value functions of three linear binomials.


The plot of the function is below.



    


    Plot y = |x-1| + |x-2| + |x-3|.