Because Scootaloo now has as much of a sister as Sweetie Belle and Applebloom… she just needs to remember that. The element of loyalty will not abandon her sister. Ever.
What is Applebloom doing, you ask? Well, she is comparing the definition of uniform continuity ([link]) with the given piecewise function. If she's going to get that cutie mark, she should eventually come to the conclusion that the function is in fact not uniformly continuous! It may be continuous, but there does not exist a single delta so that for every epsilon, (x2-x1)<delta implies (f(x2)-f(x1))<epsilon!
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