# 5.3 Graphs of polynomial functions  (Page 12/13)

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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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Thank you
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