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12) Which of the following properties are satisfied by the following function: f(x) =
[x²+1 for x<0
1
for x = 0
5x+1
for x>0
(I)
(II)
(III)
A) I and III only
B) I and II only
C) I, II, and III
D) III only
E) I only
f(x) is continuous
f(x) is differentiable for all x
f(x) is differentiable at x = -2



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