Predict the end behavior of the graph of the function.
-$$f ( x ) = - x ^ { 3 } - 9 x ^ { 2 } - 3 x + 3$$
A) Down on both sides
B) Up on left side, down on right side
C) Down on left side, up on right side
D) Up on both sides

Question

Quizplus · Accepted Answer

The leading term is $-x^3$, which is a cubic term with a negative coefficient. This means the graph will rise on the left and fall on the right.

Predict the End Behavior of the Graph of the Function f(x)=−x3−9x2−3x+3f ( x ) = - x ^ { 3 } - 9 x ^ { 2 } - 3 x + 3f(x)=−x3−9x2−3x+3

Predict the End Behavior of the Graph of the Function $f ( x ) = - x ^ { 3 } - 9 x ^ { 2 } - 3 x + 3$