State whether the function is an exponential growth function or exponential decay function, and describe its end
behavior using limits.
-$$f ( x ) = 96 x$$
A) Exponential growth function; $\lim _ { x \rightarrow \infty } f ( x ) = \infty ; \lim _ { x \rightarrow \infty } f ( x ) = 0$
B) Exponential decay function; $\lim _ { x \rightarrow \infty } f ( x ) = \infty ; \lim _ { x \rightarrow \infty } f ( x ) = 0$
C) Exponential decay function; $\lim _ { x \rightarrow \infty } f ( x ) = 0 ; \lim _ { x \rightarrow \infty } f ( x ) = \infty$
D) Exponential growth function; $\lim _ { x \rightarrow \infty } f ( x ) = 0 ; \lim _ { x \rightarrow \infty } f ( x ) = \infty$

Question

Quizplus · Accepted Answer

The function is an exponential growth function because the base of the exponential function, 96, is greater than 1. As x approaches infinity, the function approaches infinity because the base is greater than 1.

State Whether the Function Is an Exponential Growth Function or Exponential