Which of the properties below follow without further restriction

| August 30, 2017

Question
Suppose f is a continuous function on [-2, 2] such that f(-2)=1, f(2)= -1?

Which of the properties below follow without further restriction on f by applying the Intermediate Value Theorem?
A) f^2 (c) is 1/4 for some C in (-2,2)

B) f(x)+1 > or = o (-2,2)
C) f(c)=0 for some c in (-1,1)

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