How do you find the formula of an exponential graph given (0,4) and (1,4.3)?
1 Answer
Sep 1, 2016
Explanation:
We want to fit these data points to a function of the form:
#f(x) = a*b^x#
for some constants
We are told:
#{ (f(0) = 4), (f(1) = 4.3) :}#
For any non-zero value of
So we find:
#a = a*b^0 = f(0) = 4#
#b = (a*b^1)/a = f(1)/a = 4.3/4 = 1.075#
So:
#f(x) = 4(1.075^x)#