Verified Answer :

For this case we have a function of the form:
 \(y=A*(b)^x\)
 Where,
 A: initial amount

 b: decrease rate

 x: independent variable

 y: dependent variable

 as b <1 then the exponential function decreases.

 Answer:

 Decreasing exponential function.

 (See attached image)

View image carlosego

we have

\(f(x)=100(0.7^{x})\)  

we know that

In this problem we have an exponential function of the form

\(f(x)=a(b^{x})\)

 Where

 a-------> is the initial amount

 b-------> is the base of the exponential function

 as \(b <1\)--------> the exponential function decreases.

using a graphing tool

see the attached figure

The domain of an exponential function is the set of all real numbers.------> (-∞,∞)

The range is the set of all positive real numbers ------------> (0,∞)

 therefore

the answer in the attached figure

View image calculista