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7.2 Polynomial Functions and Their Graphs Andrew Fisher 8-2

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Local Minimum and Maximum Local minimum and maximum are the highest and lowest points in their “neighborhood” on the graph. 2 points on either side of the minimum or maximum f(x1) and f(x2) are less than or greater than f(a).

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Example Find the Local Minimum and Maximum.

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Answers Local Minimum(-3,6) Local Maximum(3,-6)

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Increasing and Decreasing Functions F is increasing over an open interval if for every x1

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End Behavior F(x)=ax^n a>0a<0 Left RightLeft Right N is evenRiseRiseFallFall N is oddFallRiseRise Fall

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Find the End Behavior 1.x^24. -.5x^2 2.X^35. 4x^5 3.2x^26. -3x^3

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Answers 1.Rise on left4. Fall on left Rise on rightFall on right 2. Fall on left5. Falls on left Rise on rightRise on right 3.Rise on left6. Rise on left Rise on rightFall on right

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