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

Question

Quizplus · Accepted Answer

The leading term of the polynomial $f(x) = -5x^3$ determines its end behavior. Since the coefficient of the leading term is negative and the degree is odd, the function rises to the left and falls to the right.

Use the Leading Coefficient Test to Determine the End Behavior f(x)=x+5x2−5x3f ( x ) = x + 5 x ^ { 2 } - 5 x ^ { 3 }f(x)=x+5x2−5x3

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