SOLUTION: write an exponential function that includes (2,20)(0,5)

SOLUTION: write an exponential function that includes (2,20)(0,5)

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Question 406573: write an exponential function that includes (2,20)(0,5)
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Suppose our exponential function is in the form

, where a and b are nonzero constants. Since f(0) = 5, then

--> a = 5.

Also, since f(2) = 20, we can substitute and get --> b = 2 (the solution b = -2 is somewhat extraneous because it's not easily defined on real numbers, and not exponential). Therefore we can write .
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