Polynomial equations from graphs?

Question

I was given about 7 graphs, so I could determine the minimum degree they could have, if the degree is odd or even, if the greatest coefficient is positive or negative, and if the independent term is positive, negative or zero; but there are 3 that I have doubts about. Could anyone advise?
The graphs are:
http://2.bp.blogspot.com/-3bC84kjL_GQ/UVuHe5mSCYI/AAAAAAAAAQs/CKaJm5pyLjU/s1600/eq_a.jpg
http://4.bp.blogspot.com/-va10Sys2PfI/UVuHf-iBrqI/AAAAAAAAAQ0/y7b-NAalwrk/s1600/eq_b.jpg
http://1.bp.blogspot.com/-iBbT28vGkL0/UVuHgpwY59I/AAAAAAAAAQ8/GD0isSw_F1k/s1600/eq_c.jpg

Thank you in advance.

? · Accepted Answer

end behavior => consider the highest power, if
the power is odd and coefficient + => right up,left down
the power is odd and coefficient - => right down,left up
the power is even and coefficient + => right up,left up
the power is even and coefficient - => right down,left down

http://2.bp.blogspot.com/-3bC84kjL_GQ/UV…  => odd, + , 0
http://4.bp.blogspot.com/-va10Sys2PfI/UV…    => even, -,  -
http://1.bp.blogspot.com/-iBbT28vGkL0/UV…   => even. +, -

Polynomial equations from graphs?

1 Antwort