Quartic Function

Question

The number of bald eagles in a state during the winters from 1996 to 2002 can be modeled by the quartic function

  

     

​f(x)=−3.396x4+35.572x3−98.527x2+41.538x+177.571

where x is the number of years since 1996. Find the number of bald eagles in the state in the winter of

2000.

Answer 1

f(4) = -3.396(4)^4 +35.572(4)^3 - 98.527(4)^2 + 41.538(4) + 177571

=-3.396(256) +35.572(64) - 98.527(16) + 41.538(4) + 177571

= -854.9376+ 2276.608 - 1576.432 + 166.152 + 177571

= about 177,582.3904 bald eagles in 2000