Question

Which is the graph of f(x) = 100(0.7)x?

Answer 1

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)

Answer 2

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