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Originally Posted by fuzzybottom
f`(x) = x, 0 < x < 1
f`(x) = 1, x=1
f`(x) = 2-x, 1 < x < 2
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Take out that middle equation (f`(x) = 1, x=1) and replace the "x < 1" in the first equation with x (is grater than or equal to) one, and do the same for the first half of the last equation (so one is less than or equal to x ...). 1,1 is not defined because the the y-value happens to be 1 at x=1, but rather because the other equations are equal to one at that point.