SOLUTION: find the point of discontinuity of f where f(x) = 2x+3, if x is lesser than or equal to 2 and also f (x) = 2x-3, if x is greater than 2

Question 1108360: find the point of discontinuity of f
where f(x) = 2x+3, if x is lesser than or equal to 2
and also f (x) = 2x-3, if x is greater than 2
Answer by greenestamps(13209) (Show Source): You can put this solution on YOUR website!

Both functions are continuous, so the only possible point of discontinuity is where the definition of the piecewise function changes from one of the functions to the other.

And indeed the piecewise function is discontinuous there, because at x=2 the function value is 2(2)+3 = 7; but as you approach x=2 from the right, the value of the function goes toward 2(2)-3 = 1.
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