For each of the following functions, sketch its graph and describe whether it is continuous
and/or differentiable at the point of transition of its two formulas:
(a)
f(x) = (
+x
2
, x ? 0
?x
2
, x (b)
f(x) = (
+x
2 + 1, x ? 0
?x
2 ? 1, x (c) Discuss the continuity and differentiability of the function
f(x) = x
5
3
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