State Whether the Function Is an Exponential Growth Function or Exponential

Multiple Choice

State whether the function is an exponential growth function or exponential decay function, and describe its end
behavior using limits.
- $$\mathrm { f } ( \mathrm { x } ) = \mathrm { e } ^ { 5 \mathrm { x } }$$

A) Exponential growth function; $\lim _ { x \rightarrow \infty } f ( x ) = 0 ; \lim _ { x \rightarrow \infty } f ( x ) = \infty$
B) Exponential decay function; $\lim _ { x \rightarrow \infty } f ( x ) = 0 ; \lim _ { x \rightarrow \infty } f ( x ) = \infty$
C) Exponential growth function; $\lim _ { x \rightarrow \infty } f ( x ) = \infty ; \lim _ { x \rightarrow \infty } f ( x ) = 0$
D) Exponential decay function; $\lim _ { x \rightarrow \infty } f ( x ) = \infty ; \lim _ { x \rightarrow \infty } f ( x ) = 0$