Which of the following five functions will be largest for large values of x
Select the correct answer.

A) $h ( x ) = x ^ { 10 }$
B) $f ( x ) = 64 x ^ { 8 }$
C) $f ( x ) = x ^ { 8 }$
D) $g ( x ) = 8 ^ { x }$
E) $f ( x ) = 8 x ^ { 8 }$

Question

Which of the following five functions will be largest for large values of x   
Select the correct answer.
 
A) $h ( x ) = x ^ { 10 }$
B) $f ( x ) = 64 x ^ { 8 }$
C) $f ( x ) = x ^ { 8 }$
D) $g ( x ) = 8 ^ { x }$
E)   $f ( x ) = 8 x ^ { 8 }$

Quizplus · Accepted Answer

For large values of $x$, exponential functions (like $8^x$) grow faster than polynomial functions, regardless of the polynomial's degree or coefficients.

Which of the Following Five Functions Will Be Largest for Large