SOLUTION: find an exponential function f such that f(0)=1/2 and f(4)=9/2

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: find an exponential function f such that f(0)=1/2 and f(4)=9/2      Log On


   

Question 38926: find an exponential function f such that f(0)=1/2 and f(4)=9/2
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The function is in the form
y = an^x
Plugging in the first point for x and y
1/2 = an^0
gives a = 1/2
so we're at
y = (1/2)n^x
now plug in the second point
9/2 = (1/2)n^4
n^4 = 9
n^2 = ± 3
n = ± sqrt(3) and n = ± i°sqrt(3)
All four n's work.