SOLUTION: Find the equation for an exponential function that passes through the pair of points given below. (Round all coefficients to four decimal places when necessary.) through (−1,

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Question 1197442: Find the equation for an exponential function that passes through the pair of points given below. (Round all coefficients to four decimal places when necessary.)
through
(−1, −4) and (2, −0.5)

Found 3 solutions by josgarithmetic, MathLover1, greenestamps:
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
y=a*b^x



first point





second point







.
.

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

Find the equation for an exponential function that passes through the pair of points given below. (Round all coefficients to four decimal places when necessary.)

An exponential function is defined by the formula

if passes through (, ) , we have


..........eq.1
and (, ), we have


............eq.2

.






then
..........eq.1

your equation is:




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


y = ab^x

The two given points give us

(1)
(2)

Divide (2) by (1) to get




Use that value in either (1) or (2) to find a.




ANSWER:


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