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Is the function p(x)=5x3−2x+11p(x) = 5x^3 - 2x + 11 even, odd, or neither?\newlineChoices:\newline(A)even\newline(B)odd\newline(C)neither

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Q. Is the function p(x)=5x3−2x+11p(x) = 5x^3 - 2x + 11 even, odd, or neither?\newlineChoices:\newline(A)even\newline(B)odd\newline(C)neither
  1. Calculate p(−x)p(-x): Calculate p(−x)p(-x) by substituting −x-x for xx in p(x)=5x3−2x+11p(x) = 5x^3 - 2x + 11.\newlinep(−x)=5(−x)3−2(−x)+11p(-x) = 5(-x)^3 - 2(-x) + 11
  2. Simplify p(−x)p(-x): Simplify p(−x)p(-x).p(−x)=−5x3+2x+11p(-x) = -5x^3 + 2x + 11
  3. Compare p(x)p(x) and p(−x)p(-x): Compare p(x)p(x) and p(−x)p(-x). We have p(x)=5x3−2x+11p(x) = 5x^3 - 2x + 11 and p(−x)=−5x3+2x+11p(-x) = -5x^3 + 2x + 11. Since p(−x)≠p(x)p(-x) \neq p(x) and p(−x)≠−p(x)p(-x) \neq -p(x), p(x)p(x) is neither even nor odd.

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