SOLUTION: Write an exponential function such that f(-2) = 25 and f(1) = 8/5.

Algebra ->  Graphs -> SOLUTION: Write an exponential function such that f(-2) = 25 and f(1) = 8/5.      Log On


   



Question 1009779: Write an exponential function such that f(-2) = 25 and f(1) = 8/5.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=ab%5Ex 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%28%2825%29%29 ) and (1, log%28%288%2F5%29%29 ), 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%28f%28x%29=4%280.4%29%5Ex%29 or if desired, highlight%28f%28x%29=4%282%2F5%29%5Ex%29.