This section is based on Statement I and Statement II. Select the correct answer from the codes ...

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This section is based on Statement I and Statement II. Select the correct answer from the codes given below.
(a) Both Statement I and Statement II are correct and Statement II is the correct explanation of Statement I
(b) Both Statement I and Statement II are correct but Statement II is not the correct explanation of Statement I
(c) Statement I is correct but Statement II is incorrect
(d) Statement II is correct but Statement \( I \) is incorrect
Consider function \( f(x) \) satisfies the relation
\( f\left(x+y^{3}\right)=f(x)+f\left(y^{3}\right), \forall x, y \in R \) and differentiable
for all \( x \).
Statement I If \( f^{\prime}(2)=a \), then \( f^{\prime}(-2)=a \)
Statement II \( f(x) \) is an odd function.
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