Solve the problem.
-The following polynomial approximates the shark population in a particular area. $R ( x ) = - 0.035 x ^ { 5 } + 3.785 x ^ { 4 } + 250$, where $x$ is the number of years from year 0 . Use a graphing calculator to describe the shark population from the years 0 to 25 .
A) The population remains stable.
B) The population decreases.
C) The population increases.

Question

Quizplus · Accepted Answer

The polynomial function $R(x)$ has a positive leading coefficient for the $x^4$ term, which dominates the behavior of the polynomial as $x$ increases. This suggests that the shark population increases over the given interval from year 0 to 25.

Solve the Problem R(x)=−0.035x5+3.785x4+250R ( x ) = - 0.035 x ^ { 5 } + 3.785 x ^ { 4 } + 250R(x)=−0.035x5+3.785x4+250

Solve the Problem $R ( x ) = - 0.035 x ^ { 5 } + 3.785 x ^ { 4 } + 250$