##### Exponential Functions and Models

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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 f(x) g(x) −2 −1 0 1 2 4 1 0.5 0.25 0.125 400 200 100 50 10
 f(x) = g(x) =
Jul 9th, 2015

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

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

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Jul 9th, 2015
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Jul 9th, 2015
Oct 17th, 2017
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