Describe the location, either above the x-axis or below the x-axis, of the graph of the function for large positive values of
x and for large negative values of x.
-$f ( x ) = x ^ { 5 } + x ^ { 4 } + x ^ { 3 } + x ^ { 2 } + x - 3$
A)large positive values of x: above x-axis
B)large positive values of x: below x-axis large negative values of x: below x-axis large negative values of x: below x-axis
C)large positive values of x: below x-axis
D)large positive values of x: above x-axis large negative values of x: above x-axis large negative values of x: above x-axis

Question

Quizplus · Accepted Answer

For large positive values of x, the terms with the highest powers of x will dominate, so the graph will be above the x-axis.

Describe the Location, Either Above the X-Axis or Below the X-Axis