Answer:
C
Step-by-step explanation:
A function in the form
is an exponential function. If
- a > 0, and b > 1 -- this is exponential growth function
- a > 0, and 0 < b < 1 -- this is exponential decay function
The given function can be written as
, so a > 0 and 0 < b < 1, hence this is exponential decay function.
For end behavior, we take limits from -∞ and from ∞. If we do that we can see that C is the correct answer. Also, looking at the graph explains it. Attached is the graph.
<em>From the graph, as we move towards negative infinity, the graph goes towards positive infinity and as we move towards positive infinity, the graph goes towards 0.</em>