SOLUTION: Find an exponential function of the form f(x) = ba−x + c that has the given horizontal asymptote and y-intercept and passes through point P. y = 34; y−intercept 659;

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Question 1156098: Find an exponential function of the form
f(x) = ba−x + c
that has the given horizontal asymptote and y-intercept and passes through point P.
y = 34; y−intercept 659; P(2, 134)

Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
Find an exponential function of the form

that has the given horizontal asymptote and y-intercept and passes through point P.
;
y-intercept ;=> (, )
A function of the form always has a horizontal asymptote at
=> if given , then


use P(, ) and




so far
.......=> use given point (,)








your function is:






Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


The other tutor made an ugly problem out of this by changing one of the numbers halfway through her work....



(1) Horizontal asymptote y=34 means c=34.


(2) y-intercept 659 gives us the value of b:



(3) Use the given point (2,134) to find a:





ANSWER:


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