Lesson 5 Notes.notebook March 20, 2015 Take out Lesson 1, 2, 3, and 4 homework assignments. I. Definitions Domain – Range – Increasing Interval – Decreasing Interval – End Behavior – Mar 195:50 PM Mar 195:52 PM Domain: Range: Graph Form of Polynomial Maxima:  Minima:  Increasing Interval: Degree Name Sketch of Graph with posive a Sketch of Graph with negave a Shape Number of Turns _____ End Behavior  Decreasing Interval:  End Behavior:   Mar 195:53 PM Mar 195:55 PM 1. II. More on Maximums and Minimums Maximums and minimums occur when the funcon changes from increasing to decreasing or vice versa. An ______________________________________ is THE HIGHEST point on the ENTIRE GRAPH! 2. An _______________________________________ is THE LOWEST point on the ENTIRE GRAPH! Maximums are at the “top of the mountain” and minimums are at the “boom of the valleys”. 1. A _________________________________ is the highest point on a parcular secon of a graph. A _________________________________ is the lowest point on a parcular secon of a graph We will use the calculator to find the maximum and minimum points. 1. Go to y= and type in the polynomial. 2. Press Graph to view the polynomial. 3. Press 2nd Calc 3. minimum or 4. maximum 4. Use the arrow keys and the ENTER buon to select the Le bound, Right bound, and Guess Mar 195:56 PM Mar 195:57 PM 1 Lesson 5 Notes.notebook March 20, 2015 . . Factored Form: _________________ Zeroes: ____________ Zeroes: ____________ Degree: ______ Odd/Even Degree? # of Turns: ______ Leading Coefficient: _____ End Behavior: ___________ ___________ Rel. Max: _______ Rel. Min: _______ Absolute Max: _______ Absolute Min: _______ Degree: ______ Odd/Even Degree? # of Turns: ______ Leading Coefficient: _____ End Behavior: ___________ ___________ Rel. Max: _______ Rel. Min: _______ Absolute Max: _______ Absolute Min: _______ Increasing Interval(s): ______________ Decreasing Interval(s): _____________ Increasing Interval(s): ______________ Decreasing Interval(s): _____________ Domain: ___________ Range: ___________ Domain: ___________ Range: ___________ Mar 196:31 PM Mar 196:32 PM III. Symmetry Symmetry means we have a mirror image of something on the other side. What letters of the alphabet have symmetry?________________________________ . Types of symmetry: 1. y – axis symmetry - _____________________________________________ Examples of graphs: Symmetry:____________________ Examples with equations: 2. origin symmetry (symmetry over y=x) - ______________________________ Examples of graphs: Examples with equations: Mar 196:33 PM . Symmetry:____________________ Mar 196:34 PM Mar 196:33 PM . Symmetry:____________________ Mar 196:35 PM 2
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