Find the Slowest Growing and the Fastest Growing Functions as X→∞

Multiple Choice

Find the slowest growing and the fastest growing functions as x→∞ .
- $\begin{array} { l } y = x + 7 \\y = e ^ { x } \\y = x ^ { 3 } + \cos ^ { 2 } x \\y = 4 ^ { x }\end{array}$

A) Slowest: $y = x + 7$
Fastest: $\mathrm { y } = \mathrm { e } ^ { \mathrm { X } }$

B) Slowest: $y = e ^ { x }$
Fastest: $y = x ^ { 3 } + \cos ^ { 2 } x$

C) Slowest: $y = x + 7$
Fastest: $y = x ^ { 3 } + \cos ^ { 2 } x$

D) Slowest: $y = x + 7$
Fastest: $y = 4 ^ { x }$