f(x) = 2x2 + 3x3.
Explanation:
A function is
Condition 1: Even when, f(x) = f(-x)
Condition 2: Odd when, f(x) = -f(-x)
Here, f(x) = 2x2 + 3x3 and
f(-x) = 2(-x)2 + 3(-x)3 = 2x2 -3x3
f(x) satisfies neither of the two conditions; hence it is neither an even nor an odd function.
[Note: When an even and an odd function are added / subtracted, the resulting function is neither even nor odd.]
Hence, 3.
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