SOLUTION: how do you write an exponential function y=ab raised to the x with the points (0,1), (2,4)
Algebra.Com
Question 429543: how do you write an exponential function y=ab raised to the x with the points (0,1), (2,4)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
how do you write an exponential function y=ab raised to the x with the points (0,1), (2,4)
---
Form: y = ab^x
Solve for a and for b:
Using (0,1) you get: 1 = ab^0; 1 = a*1; a = 1
----
So, y = 1*b^x
Solve for "b":
Using (2,4) you get: 4 = b^2
b = 2
-----
Equation:
y = b^2
===============
Cheers,
Stan H.
===============
RELATED QUESTIONS
How do you write an exponential function of the form y=ab^x with the given points (1,1) & (answered by josgarithmetic,MathTherapy)
Question: Write an exponential function, y=ab^x for a graph that includes points at (1,... (answered by jim_thompson5910)
Write an exponential function in the form y=ab^x that goes through points (0, 7) and (2,... (answered by Solver92311)
Write an exponential function in the form y=ab^x
that goes through points (0, 12) and... (answered by Theo,ikleyn)
Write an Exponential function of the form y=ab^x with given points
(2,18),(3,108)
(answered by tommyt3rd)
How do you write the exponential function y=ab^x when given the points (2,24) and (3,... (answered by scott8148)
Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0,... (answered by MathLover1)
Write an exponential function in the form y=ab^x that goes through points (0, 20) and (8, (answered by Boreal)
how do you compare the function y=5(1/2)^x to the exponential parent function (answered by Theo)