Question 1009779
{{{f(x)=ab^x}}} can be the form of the exponential function.
Two points are   (-2,25) and (1, 8/5).


Take logarithms of both sides, base of your choice, and you will have a linear equation.  You would need to make an adjustment to the vertical axis component of your given points.


You'll need to change the data points to  (-2, {{{log((25))}}} )  and  (1, {{{log((8/5))}}} ), for whatever base you choose.

If chosen to take logs base 10, then  you will have your LINEARIZED points as (-2, 1.39794)  and  (1, 0.20412).


The rest of the solution process relies on both linear equation skills and logarithm, exponential expression skills and concepts.


You should find  {{{highlight(f(x)=4(0.4)^x)}}}  or if desired,  {{{highlight(f(x)=4(2/5)^x)}}}.