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End behavior By:Skylar Brown

End behavior By:Skylar Brown

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What is it ? End behavior is the behavior of a graph as it reaches negative infinity or positive infinity.

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Page 1: End behavior By:Skylar Brown

End behaviorBy:Skylar Brown

Page 2: End behavior By:Skylar Brown

What is it ?End behavior is the behavior of a graph as it reaches negative infinity or positive infinity.

Page 3: End behavior By:Skylar Brown

Easy way to rememberTo determine the end behavior, follow these rules:

First find the following two pieces of information from the polynomial:

1) determine if the degree (highest exponent) is odd or even

2) determine if the leading coefficient is positive or negative

*The way to remember is to think of the quadratic (degree = even) and the cubic (degree = odd). Use those simple graphs to remember what the end behavior does.

Degree=odd, leading coefficient = +

Degree=odd, leading coefficient= -

Degree=even, leading coefficient = +

Degree=even, leading coefficient= -

as x-> infinity, y-> infinity

as x->infinity, y -> -infinity

as x-> infinity, y->infinity

as x-> infinity, y-> -infinity

as x->-infinity, y->-infinity

as x-> -infinity, y ->infinity

as x-> -infinity, y ->infinity

as x->-infinity, y->-infinity

Page 4: End behavior By:Skylar Brown

Even degree polynomials….

Page 5: End behavior By:Skylar Brown

Video with examples….