Predict the end behavior of the graph of the function.
-$$f ( x ) = 3.63 x ^ { 4 } + 6 x ^ { 2 } + x - 2$$
A) Up on left side, down on right side
B) Down on left side, up on right side
C) Up on both sides
D) Down on both sides

Question

Quizplus · Accepted Answer

The leading term of the function $f(x) = 3.63x^4 + 6x^2 + x - 2$ is $3.63x^4$. Since the coefficient of the leading term (3.63) is positive and the degree of the leading term (4) is even, the end behavior of the graph will be up on both sides.

Predict the End Behavior of the Graph of the Function f(x)=3.63x4+6x2+x−2f ( x ) = 3.63 x ^ { 4 } + 6 x ^ { 2 } + x - 2f(x)=3.63x4+6x2+x−2

Predict the End Behavior of the Graph of the Function $f ( x ) = 3.63 x ^ { 4 } + 6 x ^ { 2 } + x - 2$