Predict the end behavior of the graph of the function.
-$$f ( x ) = - 8 ( x - 3 ) ^ { 2 } ( x + 3 ) ^ { 2 }$$
A) Down on both sides
B) Up on the right side, down on the left side
C) Up on both sides
D) Down on the right side, up on the left side

Question

Quizplus · Accepted Answer

The leading term of the function when expanded is $-8x^4$, which has a negative coefficient and an even power. This means the graph goes down on both sides as $x$ approaches infinity or negative infinity.

Predict the End Behavior of the Graph of the Function f(x)=−8(x−3)2(x+3)2f ( x ) = - 8 ( x - 3 ) ^ { 2 } ( x + 3 ) ^ { 2 }f(x)=−8(x−3)2(x+3)2

Predict the End Behavior of the Graph of the Function $f ( x ) = - 8 ( x - 3 ) ^ { 2 } ( x + 3 ) ^ { 2 }$