# Continuity and End Behavior of Polynomials. Continuity... All polynomial functions are continuous. Discontinuities – Three types: Infinite(VA) Point(Hole)

Post on 13-Dec-2015

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Continuity and End Behavior of Polynomials Slide 2 Continuity... All polynomial functions are continuous. Discontinuities Three types: Infinite(VA) Point(Hole) Jump Slide 3 Continuity Polynomial Functions - Continuous Rational Functions Discontinuity at Slide 4 Continuity Other continuous functions: Other functions with discontinuities: Slide 5 Continuity Piece-wise Functions Slide 6 End Behavior Four Possibilities Up on both ends Down on both ends Up on the right & Down on the left Up on the left & Down on the right Slide 7 End Behavior Four Prototypes: Up on both ends y = x 2 Down on both ends y = -x 2 Up on the right & Down on the left y = x 3 Up on the left & Down on the right y = -x 3 Slide 8 Describe the End Behavior: Slide 9 End Behavior Notation: Up on both ends Down on both ends Up on the right & Down on the left Up on the left & Down on the right

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