f(x) = 2x2.
Explanation:
A function is
Condition 1: Even when, f(-x) = f(x)
Condition 2: Odd when, f(-x) = -f(x)
Here, f(x) = 2x2 and
f(-x) = 2(-x)2 = 2x2
∴ f(-x) = f(x)
f(x) satisfies the 1st condition; hence it is an even function.
Hence, 1.
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