The figure is the graph of an exponential growth function f(x) = Pax. Find the rule of the function f by finding a. (Hint: First find P by finding f(0). Then find a by finding f(2).)
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first makling f(0) as suggested, you will find f(0)= 5 * sometthing^x.
so p=5.
using the points:
(2,80)
80 = 5 a^x , a^x =16 by exclusion a =a
so we have f(x)=5(4^x)
OpenStudy (anonymous):
That is correct, but could you explain it in a more simple way so I can understand it better?
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OpenStudy (anonymous):
im on phone .. a minute
OpenStudy (anonymous):
thats fine. i just want to get it down in my head.
OpenStudy (anonymous):
f(0)= p * a^0 = 5, p=5
using the points (2,80) and replacing on the formula
f(2) = 80
5* a^2 = 80
a^2 =16
a= 4
did you get??
OpenStudy (anonymous):
where did you get 16 from?
OpenStudy (anonymous):
80/5
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