SOLUTION: Find formula fo f(x), an exponential function such that f(2)= 1/27 and f(-1)=27

Question 1164989: Find formula fo f(x), an exponential function such that f(2)= 1/27 and f(-1)=27
Found 2 solutions by solver91311, greenestamps:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

John

My calculator said it, I believe it, that settles it

Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

The general exponential function is

Make two equations in a and b using the two data points.

In both equations, the coefficient is a, so dividing one equation by the other will give you an equation in b only. (That's a standard procedure for finding an exponential function given two data points.)

Use that value with either data point to determine the coefficient a.

ANSWER:

RELATED QUESTIONS
find an exponential function f such that f(0)=1/2 and... (answered by fractalier)
Write an exponential function such that f(-2) = 25 and f(1) =... (answered by josgarithmetic)
Find an exponential equation,f(x),for a curve that passes through (-1,-1/3) and... (answered by htmentor)
if y=f(x) is a linear function such that f(-2)=6 and f(1)=-3,find f(x) (answered by josgarithmetic)
f(x)= 3(x^2+5) Find f^-1(x),... (answered by nerdybill)
The function f(n) is defined for all integers n, such that f(x) + f(y) = f(x + y) -... (answered by CPhill,ikleyn)
Write an exponential function such that f(-2) = 25 and f(1) = 8/5. I got F(x) =... (answered by josmiceli,MathLover1)
Find the formula for the exponential function that satisfies the given conditions.... (answered by Fombitz)
Consider the function f(x) = {{{ 1/ sqrt( x^3-27 ) }}}. Find the domain of f, and answer... (answered by ikleyn)