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### Section_3pt1(part2)

Course: MATH 1111, Fall 2009
School: Clayton
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Word Count: 110

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Polynomial Math1111 3.1 Functions and Modeling Part 2 The Intermediate Value Theorem Intermediate Value Theorem For any polynomial function P (x) with real coefficients, suppose that for a b , P(a ) and P(b) are of opposite signs. Then the function has a real zero (xintercept, i.e., y = 0 ) between a and b. Example: Using the intermediate value theorem, determine, possible, if whether the function has a real...

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Polynomial Math1111 3.1 Functions and Modeling Part 2 The Intermediate Value Theorem Intermediate Value Theorem For any polynomial function P (x) with real coefficients, suppose that for a b , P(a ) and P(b) are of opposite signs. Then the function has a real zero (xintercept, i.e., y = 0 ) between a and b. Example: Using the intermediate value theorem, determine, possible, if whether the function has a real zero between a and b. f ( x) = x 3 + x 2 8 x ; a = 4 and b = 1 f ( x) = x 3 + x 2 8 x ; a = 1 and b = 3 g ( x) = 2 x5 7 x + 1 ; a = 1 and b = 2 Do the graphs of the funct...

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