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

A) $f ( x ) = x ^ { - 36 }$
B) $f ( x ) = x ^ { - 216 }$
C) $g ( x ) = 6 ^ { - x }$
D) $f ( x ) = x ^ { - 6 }$
E) $h ( x ) = x ^ { - 100 }$

Question

Which of the following five functions will be smallest for large values of x   
Select the correct answer.
 
A) $f ( x ) = x ^ { - 36 }$
B) $f ( x ) = x ^ { - 216 }$
C) $g ( x ) = 6 ^ { - x }$
D) $f ( x ) = x ^ { - 6 }$
E) $h ( x ) = x ^ { - 100 }$

Quizplus · Accepted Answer

For large values of x, exponential functions decrease faster than polynomial functions with negative exponents. $g(x) = 6^{-x}$ will be the smallest.

Which of the Following Five Functions Will Be Smallest for Large