How to find an exponential function with two points?
Mathematics
IsabethVosamed
Question
How to find an exponential function with two points?
1 Answer

1. User Answers Anonym
well u have a basic equation y=a • b^x
a is the initial amount
b is the growth factor
and x is the exponent
the first step is to make a chart with ur two points for example
(0,4) and (2,16)
so ur chart will be
x.  y.
0.  4
2.  16
next you find the difference between the x side so 0 to 2 is +2
then find the difference between the y side so 4 to 16 is +12
then put it into a fraction with y over x or y/x so 12/2 then simplified 6/1 or just 6.
6 is the growth factor
and to find a u have to go on the y column and find the first number so
a is 4
x is still x because it's 0 but if it was 2 then it would be x2 so it can cancel
so the answer would be y=4 • 6^x