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Warm-Up. Graphs of Polynomial Functions  Should be CONTINUOUS with NO breaks, holes, or gaps.  Definition of Domain : all the x-values that go into.

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Presentation on theme: "Warm-Up. Graphs of Polynomial Functions  Should be CONTINUOUS with NO breaks, holes, or gaps.  Definition of Domain : all the x-values that go into."— Presentation transcript:

1 Warm-Up

2 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)

3 Examples: Evaluate each Polynomial at the given value

4 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.

5 Labeling Maximums, Minimums, Zeros, and Y-Intercepts

6 How to Find Key Features with the Calculator

7 Examples: Identifying Relative Maximums, Minimums, Zeros, and Y-Intercepts

8 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.

9 Examples: Find the Intervals of Increase and Decrease

10 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

11 Examples: State the Degree, Leading Coefficient, and End Behavior

12 Continued…

13 Even More…

14 Does it ever end???

15 Yayyy We Finished this Part!!!

16 Examples: Determine End Behavior from the Equation


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