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