Exponential Functions and Models

Mathematics
Tutor: None Selected Time limit: 1 Day

The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Give the exponential models for those that are. HINT [See Example 1.] (If an answer does not exist, enter DNE.)
x−2−1012
f(x)410.50.250.125
g(x)4002001005010
f(x) = 
 
g(x) = 
 
Jul 9th, 2015

Thank you for the opportunity to help you with your question!

assume that f = a*b^x 

then we have f(1)/f(0) = b  = 1/2 

f(0) = a = 0.5 

f(x) = 0.5*(1/2)^x 

f(-2) = 0.5*(1/2)^(-2) = 0.5*4 = 2 but we have f(-2) = 4, so answer is DNE

similarly 

assume g(x)=  a*b^x 

b = g(1)/g(0) = 1/2 

a = g(0) = 100 

g(x) = 100*(1/2 )^x

g(2) = 100*(1/2)^2 = 25 

but we have g(2) = 10, so answer is DNE

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 9th, 2015

This makes much more sense now that I can actually see that the answer DNE. Thanks for taking the time to help me out! 

Jul 9th, 2015

you are welcome

Jul 9th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Jul 9th, 2015
...
Jul 9th, 2015
Dec 10th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer