SOLUTION: hey heres another problem i need help on. The chapter im on is called exponential and logarithmic functions. The problem is on writing an exponential function from 2 points on the

Question 131700: hey heres another problem i need help on. The chapter im on is called exponential and logarithmic functions. The problem is on writing an exponential function from 2 points on the functions graph.
heres the problem
Write an exponential function of the form y=ab^x that includes the given points: (-1, 2/9) (1,2)
Thanks
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Plug in x=-1, and

Rewrite as

Cross multiply

Divide both sides by 2 to isolate b

Now go back to the original equation

Plug in x=1 and y=2

Simplify

Plug in

Multiply both sides by 2

Divide both sides by 9

Take the square root of both sides

Simplify

Plug this answer into this equation

Multiply

Reduce

Reduce again

--------------------------------
So our values are

and

which means that the equation is

RELATED QUESTIONS
Hi I dont understand how to do this problem. The chapter is on exponential and... (answered by rapaljer)

Hello the chapter im working on is called exponential and logarithmic functions. The... (answered by Edwin McCravy)

hey the chapter im working on is called rational functions. The section im working on is... (answered by solver91311)

Hey the chapter im on is called rational functions. And i had this random word problem... (answered by solver91311)

Hi The chapter im working on is called Rational Functions. I got this word problem in my (answered by solver91311)

Hi the chapter im on is called Exponential and Logarithmic functions. I had a question... (answered by stanbon,josmiceli)

Hi the section im working on is solving rational equations. Heres the problem i need... (answered by SoOoDumb,Earlsdon)

Hi im working on the chapter Rational Functions. The section is solving rational... (answered by solver91311)

Hey i really need help with this maths problem Heres the question: For what values of x (answered by Alan3354)