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Consider the important characteristics of polynomials that help you make connections between the equation and the graph in factored form:
 even vs odd degree
sign of the leading coefficient (positive or negative)
end behaviours
different orders of roots (e.g. order 1 - linear, order 2 - double, order 3 - cubic)
 1.  Choose one polynomial function in factored form that you haven't used for Example a hard function, not an easy one.
 a. Identify important characteristics of your polynomial.
b.What do these characteristics tell you about the graph of your function ?
 make sure we get polynomials that have a variety of different characteristics - choose ones with a different degree, different roots, and different end behaviour. 
 
Leading coefficient:
Degree:
Zeros:
Y-int
Rel Max
Rel Min
What do these characteristics tell you about the graph of your function?
End Behaviours:
Domain and Range:
Behaviours around zeros:
Absolute max/min
more....

Expert Answer

Consider the important characteristics of polynomials that help you make connections between the equation and the graph in factored form: even vs odd degree sign of the leading coefficient (positive or negative) end behaviours different orders of roots (e.g. order 1 - linear, order 2 - double, order 3 - cubic) 1. Choose one polynomial function in factored form that you haven't used for Example a hard function, not an easy one. a. Identify important characteristics of your polynomial. b.What do these characteristics tell you about the graph of your function ? make sure we get polynomials that have a variety of different characteristics - choose ones with a different degree, different roots, and different end behaviour. Leading coefficient: Degree: Zeros: Y-int Rel Max Rel Min What do these characteristics tell you about the graph of your function? End Behaviours: Domain and Range: Behaviours around zeros: Absolute max/min more....

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