Find the power function that the graph of f resembles for large values of $| \mathbf { x } |$
-$$f ( x ) = ( x + 12 ) ^ { 6 } ( x - 3 ) ^ { 3 }$$
A) $y = x ^ { 6 }$
B) $y = x ^ { 3 }$
C) $y = x ^ { 18 }$
D) $y = x ^ { 9 }$

Question

Quizplus · Accepted Answer

For large values of $|x|$, the highest degree term dominates. The function $f(x) = (x + 12)^6 (x - 3)^3$ expands to a polynomial where the highest degree term is $x^9$, so the graph resembles $y = x^9$.

Find the Power Function That the Graph of F Resembles ∣x∣| \mathbf { x } |∣x∣

Find the Power Function That the Graph of F Resembles $| \mathbf { x } |$