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  • Card 12 / 13:
    Intermediate Value Theorem

    for two numbers   a   and   b   in the domain of   f ,   if   a < b   and   f ( a ) ≠ f ( b ) ,   then the function   f   takes on every value between   f ( a )   and   f ( b ) ; specifically, when a polynomial function changes from a negative value to a positive value, the function must cross the   x - axis

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Source:  OpenStax, College algebra. OpenStax CNX. Feb 06, 2015 Download for free at https://legacy.cnx.org/content/col11759/1.3
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