SOLUTION: what is the exponential function y = ab^x for a graph that includes (1,6) and (0,2)?

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: what is the exponential function y = ab^x for a graph that includes (1,6) and (0,2)?      Log On


   

Question 403126: what is the exponential function y = ab^x for a graph that includes (1,6) and (0,2)?
Found 2 solutions by stanbon, scott8148:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
what is the exponential function y = ab^x
for a graph that includes (1,6) and (0,2)?
----
(0,2) implies 2 = ab^0
---
(1,6) implies 6 = ab^1
----------
Then: 2 = a
And: 6 = ab
---
So, b = 3
---
Equation:
y = 2*3^x
------------------
Cheers,
Stan H.

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
2 = a b^0 ___ 2 = a

6 = 2 b^1 ___ 3 = b

y = 2(3^x)