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Is the function s(x)=5x7+2x3−9xs(x) = 5x^7 + 2x^3 - 9x even, odd, or neither?\newlineChoices:\newline(A)even\newline(B)odd\newline(C)neither

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Q. Is the function s(x)=5x7+2x3−9xs(x) = 5x^7 + 2x^3 - 9x even, odd, or neither?\newlineChoices:\newline(A)even\newline(B)odd\newline(C)neither
  1. Find s(−x)s(-x): Find s(−x)s(-x) by substituting −x-x for xx in s(x)s(x).\newlines(−x)=5(−x)7+2(−x)3−9(−x)s(-x) = 5(-x)^7 + 2(-x)^3 - 9(-x)
  2. Simplify s(−x)s(-x): Simplify s(−x)s(-x).s(−x)=−5x7−2x3+9xs(-x) = -5x^7 - 2x^3 + 9x
  3. Compare s(x)s(x) and s(−x)s(-x): Compare s(x)s(x) and s(−x)s(-x).
    s(x)=5x7+2x3−9xs(x) = 5x^7 + 2x^3 - 9x
    s(−x)=−5x7−2x3+9xs(-x) = -5x^7 - 2x^3 + 9x
    Since s(−x)=−s(x)s(-x) = -s(x), s(x)s(x) is an odd function.

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