Choose the one alternative that best completes the statement or answers the question.
Determine the end behavior of the graph of the function.
-$$f ( x ) = 8 x ^ { 6 } + 3 x ^ { 5 } + 3 x ^ { 4 } + 7$$
A) Up left and down right
B) Down left and down right
C) Down left and up right
D) Up left and up right

Question

Quizplus · Accepted Answer

The leading term of the polynomial function $f(x) = 8x^6 + 3x^5 + 3x^4 + 7$ is $8x^6$. Since the coefficient of the leading term (8) is positive and the degree of the polynomial (6) is even, the end behavior of the graph is up on both the left and right sides.

Choose the One Alternative That Best Completes the Statement or Answers