Asked by Anonymous
Given that the range of a polynomial function is {y | y <= 5, y ER}, do you have enough
information to make any conclusions about the leading coefficient or degree?
(er is all real numbers)
information to make any conclusions about the leading coefficient or degree?
(er is all real numbers)
Answers
Answered by
Steve
Since y has an absolute maximum, it must be of even degree, since all the odd-degree polynomials go forever in each direction.
And, its leading coefficient must be negative, since the graph opens downward.
And, its leading coefficient must be negative, since the graph opens downward.