SOLUTION: Find the exponential fuction of the form {{{ f(x) = C * a^x }}} which satisfies the given conditions Passes through the points (0,2) and (-1, 2/7)

Algebra ->  Exponents -> SOLUTION: Find the exponential fuction of the form {{{ f(x) = C * a^x }}} which satisfies the given conditions Passes through the points (0,2) and (-1, 2/7)      Log On


   

Question 475261: Find the exponential fuction of the form
+f%28x%29+=+C+%2A+a%5Ex+ which satisfies the given conditions
Passes through the points (0,2) and (-1, 2/7)
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
f%280%29+=+C%2Aa%5E0+=+C+=+2 ==> f%28x%29+=+2a%5Ex
Also, f%28-1%29+=+2%2Aa%5E%28-1%29+=+2%2Fa+=+2%2F7 ==> a = 7.
==> f%28x%29+=+2%2A7%5Ex