Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
The equation of a exponential decay function is equal to
[tex]f(x)=a(1-r)^x[/tex]
where
a is the initial value or y-intercept
r is the rate of change
we have
[tex]f(x)=2(0.3)^x[/tex]
so
[tex]a=2\\1-r=0.3\\r=0.70=70\%[/tex]
To graph the exponential function, find different values of f(x) for different values of x
so
For x=-1 -----> [tex]f(x)=2(0.3)^{-1}=6.667[/tex]
For x=-0.5 -----> [tex]f(x)=2(0.3)^{-0.5}=3.651[/tex]
For x=-0 -----> [tex]f(x)=2(0.3)^{0}=2[/tex]
For x=0.5 -----> [tex]f(x)=2(0.3)^{0.5}=1.095[/tex]
For x=1 -----> [tex]f(x)=2(0.3)^{1}=0.6[/tex]
Plot the points and join them to graph the exponential function
The graph in the attached figure
