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Is the function k(x)=−4x6+11xk(x) = -4x^6 + 11x even, odd, or neither?\newlineChoices:\newline(A)even\newline(B)odd\newline(C)neither

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Q. Is the function k(x)=−4x6+11xk(x) = -4x^6 + 11x even, odd, or neither?\newlineChoices:\newline(A)even\newline(B)odd\newline(C)neither
  1. Calculate k(−x)k(-x): Calculate k(−x)k(-x) by substituting −x-x for xx in the function k(x)=−4x6+11xk(x) = -4x^6 + 11x.\newlinek(−x)=−4(−x)6+11(−x)k(-x) = -4(-x)^6 + 11(-x)
  2. Simplify expression: Simplify the expression for k(−x)k(-x).k(−x)=−4x6−11xk(-x) = -4x^6 - 11x
  3. Compare k(x)k(x) and k(−x)k(-x): Compare k(x)k(x) and k(−x)k(-x) to determine if the function is even, odd, or neither.\newlinek(x)=−4x6+11xk(x) = -4x^6 + 11x\newlinek(−x)=−4x6−11xk(-x) = -4x^6 - 11x\newlineSince k(−x)k(-x) is not equal to k(x)k(x) and k(−x)k(-x) is not equal to −k(x)-k(x), the function is neither even nor odd.

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