Answer:
Choice D is correct
Step-by-step explanation:
We are given the exponential function;
[tex]y=7^{-x}[/tex]
Using the law of exponents the function can be re-written as;
[tex]y=(\frac{1}{7})^{x}[/tex]
The base 1/7 is less than 1 hence this represents an exponential decay function.
For any exponential decay function y;
as x approaches infinity, y will always tend to 0
as x approaches negative infinity, y will always tend to infinity
See the attachment;
