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7 September, 08:54

Determine the end behavior for the function f (x) = (x^2+1) ^2 (2x-3)

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  1. 7 September, 09:01
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    We see that the highest power will be 5th degree (multiplying only the placeholders, (x^2) ^2 (2x) = 2x^5)

    and the leading coefient is positive

    so therefor, since

    we see the power is odd, so odd function

    the ends go in opsoite directions

    we know that if the leadind coefient (number in front of highest power term) is positive, then odd powered polynomials go from bottom left to top right

    and for even ones, it goes both up

    so we gots posiitve ileading coefient and odd power

    same as last time

    as x approaches negative infinity, y approaches negative infinity

    as x approaches infinity, y approaches infinity
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