How do you determine the formula for the graph of an exponential function given (0,2) and (3,1)?
1 Answer
Sep 25, 2016
I found:
Explanation:
Let us start with the general form of an exponential function:
where
We use the coordinates of the points into the general expression to find the two constants:
First :
or:
so that
Second :
we know from the previous step that
and so:
take the natural log of both sides:
rearranging:
and:
Finally our function will be:
Graphically:
graph{2e^(-0.231x) [-10, 10, -5, 5]}