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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Which characteristic is correct for the function?

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! Which characteristic is correct-example-1
User Taal
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1 Answer

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Answer: (C) even

Explanation:

A function is even when f(x) = f(-x)

A function is odd when f(-x) = -f(x)


f(x) = -2x⁴ + 3x²

f(-x) = -2(-x)⁴ + 3(-x)²

= -2x⁴ + 3x²

f(x) = f(-x) so the function is even


-f(x) = -(-2x⁴ + 3x²)

= 2x⁴ - 3x²

f(-x) ≠ -f(x) so the function is not odd.

User Dvanaria
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