Question

(Q3) Decide if the function is an exponential growth function or exponential decay function, and describe its end behavior using limits. y=7^-x

Answer 1

D

Explanation:

Answer 2

Choice D is correct

Explanation:

We are given the exponential function;

`y=7^(-x)`

Using the law of exponents the function can be re-written as;

`y=((1)/(7))^(x)`

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;