Predict the end behavior of the graph of the function.
-$$f ( x ) = - 1.25 x ^ { 4 } - x ^ { 3 } + x ^ { 2 } - 2 x + 3$$
A) Down on left side, up on right side
B) Up on left side, down on right side
C) Down on both sides
D) Up on both sides

Question

Quizplus · Accepted Answer

The leading term is $-1.25x^4$, which has a negative coefficient and an even degree. This means the graph will go down on both sides.

Predict the End Behavior of the Graph of the Function f(x)=−1.25x4−x3+x2−2x+3f ( x ) = - 1.25 x ^ { 4 } - x ^ { 3 } + x ^ { 2 } - 2 x + 3f(x)=−1.25x4−x3+x2−2x+3

Predict the End Behavior of the Graph of the Function $f ( x ) = - 1.25 x ^ { 4 } - x ^ { 3 } + x ^ { 2 } - 2 x + 3$