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.
-$f ( x ) = - 9 x ^ { 3 }$
A) large positive values of x: above x-axis , large negative values of x: above x-axis
B)llarge positive values of x: below x-axis , large negative values of x: above x-axis
C)large positive values of x: above x-axis , large negative values of x: below x-axis
D)large positive values of x: below x-axis , large negative values of x: below x-axis

Question

Quizplus · Accepted Answer

For large positive values of $x$, $f(x) = -9x^3$ will be negative (below the x-axis) because the negative coefficient (-9) makes the positive cube of $x$ negative. For large negative values of $x$, $f(x)$ will be positive (above the x-axis) because the cube of a negative number is negative, and the negative coefficient makes the result positive.

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