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How to determine the Exponential function?
Determine the exponential function whose graph contains the following points:
(-1,3/5) and (2,75)
So I know you need to substitute, which I've done. And I'm at this point:
3/5 = (75a)^(-1/2)
Where I'm stuck is that I don't know how to distribute the exponent -1/2 over 75a. If someone could tell me how that be great!
1 Answer
- 8 years agoFavorite Answer
y = a * b^x
75 = a * b^2
75 / b^2 = a
3/5 = a * b^(-1)
(3/5) * b = a
75 / b^2 = (3/5) * b
75 * 5/3 = b^3
125 = b^3
b = 5
y = a * 5^x
75 = a * 5^2
75 = a * 25
3 = a
y = 3 * 5^x
