PLEASE HELP!!on a piece of paper graph f(x)=2•(3)^x.Then determine which answer choice matches the graph you drew.
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Answer:
Graph B
The graph in the attached figure
Step-by-step explanation:
we have
[tex]f(x)=2(3)^{x}[/tex]
This is a exponential function
of the form
[tex]f(x)=a(b)^{x}[/tex]
where
a is the initial value
b is the base
r is the rate
b=1+r
In this problem
a=2 ----> the y-intercept
b=3
so
1+r=3 -----> r=3-1=2 -----> r=200%
so
The y-intercept of the graph is equal to 2
As x increases the value of f(x) increases
therefore
Graph B