Choose the one alternative that best completes the statement or answers the question.
Determine the end behavior of the graph of the function.
-$$4 ( x + 2 ) ( 8 x + 7 ) ^ { 3 } ( x + 2 ) ^ { 5 }$$
A) As $x \rightarrow - \infty , f ( x ) \rightarrow - \infty$; As $x \rightarrow \infty , f ( x ) \rightarrow - \infty$
B) As $x \rightarrow - \infty , f ( x ) \rightarrow \infty$; As $x \rightarrow \infty , f ( x ) \rightarrow \infty$
C) As $x \rightarrow - \infty , f ( x ) \rightarrow - \infty$; As $x \rightarrow \infty , f ( x ) \rightarrow \infty$
D) As $x \rightarrow - \infty , f ( x ) \rightarrow \infty$; As $x \rightarrow \infty , f ( x ) \rightarrow - \infty$

Question

Quizplus · Accepted Answer

The function's leading term, when expanded, will have a positive coefficient and an even degree, leading to both ends of the graph pointing in the same direction, upwards, as $x$ approaches both $-\infty$ and $\infty$.

Choose the One Alternative That Best Completes the Statement or Answers