SOLUTION: when is the polynomial x^5-4x^4-7x^3+14x^2-44x+120 that represents your roller coaster decreasing and increasing. Write the answer in interval notation

Algebra ->  Finance -> SOLUTION: when is the polynomial x^5-4x^4-7x^3+14x^2-44x+120 that represents your roller coaster decreasing and increasing. Write the answer in interval notation      Log On


   

Question 1129743: when is the polynomial x^5-4x^4-7x^3+14x^2-44x+120 that represents your roller coaster decreasing and increasing. Write the answer in interval notation
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

function has local maximum and minimum where first derivative is equal to zero:
and it is 5+x%5E4+-+16+x%5E3+-+21+x%5E2+%2B+28+x+-+44=0 at
x=+-1.89
x=4.03
so, function is
highlight%28Increasing%29 on: (-infinity,-1.89),(4.03,infinity)
highlight%28Decreasing%29 on: (-1.89,4.03)