Solve the problem.
-A herd of bison is introduced to a wildlife refuge. The number of bison, $\mathrm { N } ( \mathrm { t } )$, after $t$ years is described by the polynomial function $N ( t ) = - t ^ { 4 } + 23 t + 120$. Use the Leading Coefficient Test to determine the graph's end behavior. What does this mean about what will eventually happen to the bison population?
A) The bison population in the refuge will be displaced by "oil" wells.
B) The bison population in the refuge will grow out of control.
C) The bison population in the refuge will reach a constant amount greater than 0 .
D) The bison population in the refuge will die out.

Question

Quizplus · Accepted Answer

The Leading Coefficient Test indicates that since the leading term is $-t^4$, the graph opens downwards, meaning as $t$ increases, $N(t)$ eventually decreases, suggesting the bison population will die out.

Solve the Problem N(t)\mathrm { N } ( \mathrm { t } )N(t)

Solve the Problem $\mathrm { N } ( \mathrm { t } )$