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Scholar
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posted by  maret on 10/4/2008 12:42:54 PM  |  status: Live  

please help...will rate...thanks!

Course Textbook Chapter Problem
Calculus N/A N/A N/A
Question Details:
Find the exponential function f(x) = Cax whose graph is given.
f(x) =  

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Oracle
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posted by Altair on 10/4/2008 12:48:00 PM  |  status: Live
Asker's Rating: Helpful   
maret's comment:
"thanks!!"
Response Details:
f(0)  = 2 = Ca0 = C => C = 2
 
f(2) = 2/9 = 2a2 => a = √(1/9) = 1/3
 
 
f(x) = 2 (1/3)x
 

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Oracle
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posted by Grace on 10/4/2008 12:53:31 PM  |  status: Live
Asker's Rating: Lifesaver   
maret's comment:
"your detailed answers of of much help!!"
Response Details:
f(x) = Cex

f(0) = Ce0= 2
       C = 2
f(x) = 2ex

Flipped over a vertical line:
f(x) = 2e-x

Passes through (2, 2/9):
f(2) = 2e-(ax) = 2/9
e-(ax) = 1/9
e-2a = 1/9
-2a = ln(1/9)
a = -ln(1/9)/2 or ln[(1/9)-1/2] = ln[(9)1/2] = ln(3)

y = 2e-ln(3)x
y = 2(3)-x or
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