SOLUTION: write an exponential function y=ab^x with (-1,8 1/3) and (2, 1.8)

Question 942581: write an exponential function y=ab^x with (-1,8 1/3) and (2, 1.8)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
write an exponential function y=ab^x with (-1,8 1/3) and (2, 1.8)
-----
Form: y = ab^x
-----
Solve for a and b
------
1.8 = ab^2
25/3 = ab^-1
-------
Divide and solve for "b"::
0.216 = b^3
---
b = 0.6
-----
Now solve for "a"::
1.8 = a*0.6^2
1.8 = a*0.36
----
a = 5
-----
Ans: y = 5*(0.6)^x
---------------------
Cheers,
Stan H.
-----------
RELATED QUESTIONS
Write an exponential function such that f(-2) = 25 and f(1) =... (answered by josgarithmetic)

Is the function exponential? K(x)=(9^x)/(sqrt((3)*8^x) If is an exponential... (answered by Theo)

a. Suppose f is an exponential function and f(0)=8 and f(1)=18. Write a function formula... (answered by josgarithmetic)

Write an exponential function in the form y=ab^x that goes through points (0, 20) and (8, (answered by Boreal)

i need to write an exponential function that models this graph step -- number of... (answered by Alan3354)

7. Evaluate the function below over the domain {-1, 0, 1, 2}. As the values of the... (answered by stanbon)

Write an exponential function y = abx for a graph that includes (�3, 16) and (�1, 4) (answered by josgarithmetic)

32, 16, 8, 4, 2, ... . Find the common ratio of the given sequence, and write an... (answered by rothauserc)

Write exponential form in log form and log in exponential 1. log3^x=9 2.log2^8=x 3.... (answered by Alan3354)