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Published byCory Stevens Modified over 8 years ago
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Warm-Up
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Graphs of Polynomial Functions Should be CONTINUOUS with NO breaks, holes, or gaps. Definition of Domain : all the x-values that go into a function (Input) Definition of Range : all the y-values of a function (Output)
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Examples: Evaluate each Polynomial at the given value
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Polynomial Graphing Features If the graph of a polynomial has several turning points, the function can have a relative ____________________ or relative _____________________. ____________________: is the value of the function at an up to down turning point. ____________________: is the value of the function at down to up turning point.
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Labeling Maximums, Minimums, Zeros, and Y-Intercepts
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How to Find Key Features with the Calculator
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Examples: Identifying Relative Maximums, Minimums, Zeros, and Y-Intercepts
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Intervals of Increase and Decrease Intervals of Increase/Decrease:( Based off the x-coordinates on the function ) You will be using the x-coordinates of the maxima/minima to separate the intervals of increase/decrease. A function is ___________________ when the y-values increase as the x- values increase. A function is ___________________ when the y-values decrease as the x- values increase.
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Examples: Find the Intervals of Increase and Decrease
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End Behavior Even Degree Polynomial Odd Degree Polynomial POSITIVE Leading Coefficient BOTH Ends are UP 1 st DOWN, 2 nd UP NEGATIVE Leading Coefficient BOTH Ends are DOWN 1 st UP, 2 nd DOWN
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Examples: State the Degree, Leading Coefficient, and End Behavior
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Continued…
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Even More…
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Does it ever end???
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Yayyy We Finished this Part!!!
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Examples: Determine End Behavior from the Equation
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