Use the Leading Coefficient Test to determine the end behavior of the polynomial function. Then use this end
-$$f ( x ) = 4 x ^ { 4 } - 3 x ^ { 3 } - 5 x ^ { 2 } + 2 x - 5$$
A) rises to the left and rises to the right
B) rises to the left and falls to the right
C) falls to the left and rises to the right
D) falls to the left and falls to the right

Question

Quizplus · Accepted Answer

The leading term of the polynomial $f(x) = 4x^4 - 3x^3 - 5x^2 + 2x - 5$ is $4x^4$. Since the coefficient of the leading term (4) is positive and the degree of the polynomial (4) is even, the end behavior of the polynomial is that it rises to the left and rises to the right.

Use the Leading Coefficient Test to Determine the End Behavior f(x)=4x4−3x3−5x2+2x−5f ( x ) = 4 x ^ { 4 } - 3 x ^ { 3 } - 5 x ^ { 2 } + 2 x - 5f(x)=4x4−3x3−5x2+2x−5

Use the Leading Coefficient Test to Determine the End Behavior $f ( x ) = 4 x ^ { 4 } - 3 x ^ { 3 } - 5 x ^ { 2 } + 2 x - 5$