15 Feb 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 co
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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