SOLUTION: Find a possible formula for the exponential function through the points (−2,54) and (2,6/9)

Question 1155242: Find a possible formula for the exponential function through the points (−2,54) and (2,6/9)
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

Use the two given data points:

Divide the second equation by the first:

Note if this were a geometric sequence problem, the value of b could be either 1/3 or -1/3. But for an exponential function, b has to be positive.

Substitute this value of b in either original equation to find a.

ANSWER: One possible function for the two given points is

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