Question

Describe the end behavior of polynomial graphs with odd and even degrees. Talk about positive and negative leading coefficients.

Answer 1

for a polynomial with even degree and posiitve leading coefficients end behaviour is:-
at start:- the graph will descend as x increases to the right.
at the end, the graph will ascend as x increeases.
- If the leading coefficient is negative the opposite will occur - ascending at the start side and descending at the end.

For polynomials with odd degrees and positive leading coefficients end behaviour is:-

starting with ascending as x increases
at the end :- descending as x increases

negative leading coefficients
at statr:- descending as x increases
at the end:- ascending as x increases

Answer 2

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