SOLUTION: Find an exponential function of the form f(x) = ba^x that has the given y-intercept and passes through the point P. y-intercept 8; P(3, 1) I get 1/2 but my computer says

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Question 1155241: Find an exponential function of the form
f(x) = ba^x
that has the given y-intercept and passes through the point P.
y-intercept 8; P(3, 1)
I get 1/2 but my computer says it is wrong and I have redone the problem several times.

Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

given

y-intercept ;=> is at point (, )
P(, )
recall that

....use point (, )

.....solve for
........eq.1


....use point P(, )
.....solve for



........eq.2

from eq.1 and eq.2 we have





Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!


You say "I get 1/2".

What does that mean? The question asks for an exponential function; "1/2" is not a function.

What you found (apparently) was the a in the general form y=ba^x.

The a is 1/2; since the y-intercept (when x=0) is 8, the b in your function is 8.

The answer -- the exponential function -- is y=8(1/2)^x,


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