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 transcript:

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 a function (Input)  Definition of Range : all the y-values of a function (Output)

Examples: Evaluate each Polynomial at the given value

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.

Labeling Maximums, Minimums, Zeros, and Y-Intercepts

How to Find Key Features with the Calculator

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

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.

Examples: Find the Intervals of Increase and Decrease

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

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

Continued…

Even More…

Does it ever end???

Yayyy We Finished this Part!!!

Examples: Determine End Behavior from the Equation