Find the power function that the graph of f resembles for large values of |x|.
-$$f ( x ) = 3 x - x ^ { 3 }$$
A) $y = x ^ { 2 }$
B) $y = x ^ { 4 }$
C) $y = x ^ { 3 }$
D) $y = - x ^ { 3 }$

Question

Quizplus · Accepted Answer

For large values of $|x|$, the term $x^3$ dominates the function $f(x) = 3x - x^3$, making the graph resemble the graph of $y = -x^3$.

Find the Power Function That the Graph of F Resembles f(x)=3x−x3f ( x ) = 3 x - x ^ { 3 }f(x)=3x−x3

Find the Power Function That the Graph of F Resembles $f ( x ) = 3 x - x ^ { 3 }$