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

For this case we have a function of the form:
[tex]y=A*(b)^x [/tex]
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)

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calculista calculista · Answer 2 · 2018-10-10T17:28:35+02:00

we have

[tex]f(x)=100(0.7^{x})[/tex]

we know that

In this problem we have an exponential function of the form

[tex]f(x)=a(b^{x})[/tex]

Where

a-------> is the initial amount

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

as [tex]b <1[/tex]--------> 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