Solve the problem
-The following polynomial approximates the shark population in a particular area. $$R ( x ) = - 0.018 x ^ { 5 } + 4.013 x ^ { 4 } + 300$$ 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 indicates that the shark population increases over the given interval from year 0 to 25.

Solve the Problem -The Following Polynomial Approximates the Shark Population R(x)=−0.018x5+4.013x4+300R ( x ) = - 0.018 x ^ { 5 } + 4.013 x ^ { 4 } + 300R(x)=−0.018x5+4.013x4+300

Solve the Problem
-The Following Polynomial Approximates the Shark Population $R ( x ) = - 0.018 x ^ { 5 } + 4.013 x ^ { 4 } + 300$