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Question: Let f : R ® R be a continuous onto function satisfying f(x) + f(–x) = 0, " x Ī R. If f(–3) = 2 and ...

Let f : R ® R be a continuous onto function satisfying

f(x) + f(–x) = 0, " x Ī R. If f(–3) = 2 and f(5) = 4 in [–5, 5], then the equation f(x) = 0 has

A

Exactly three real roots

B

Exactly two real roots

C

At least five real roots

D

At least three real roots

Answer

At least three real roots

Explanation

Solution