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Answer to Question #15615 in Calculus for hsd

Question #15615
Consider the function:

f(x) = (1/2)(x-1)^2 if x ≤ 2
= a+bx if x > 2

where a, b are constants.

(a) How do you need to choose a and b in order for f to be continuous at all
x E IR?
(b) How do you need to choose a and b in order for f to be di erentiable at all
x E IR?
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