Find the power function that the graph of f resembles for large values of |x|.
-$$f ( x ) = ( x + 8 ) ^ { 2 }$$
A) $y = x ^ { 16 }$
B) $y = x ^ { 2 }$
C) $y = x ^ { 8 }$
D) $y = x ^ { 64 }$

Question

Quizplus · Accepted Answer

For large values of $|x|$, the term $x^2$ in the function $f(x) = (x + 8)^2$ dominates, making the graph resemble $y = x^2$.

Find the Power Function That the Graph of F Resembles f(x)=(x+8)2f ( x ) = ( x + 8 ) ^ { 2 }f(x)=(x+8)2

Find the Power Function That the Graph of F Resembles $f ( x ) = ( x + 8 ) ^ { 2 }$