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Equation of an Exponential Function
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An increasing exponential function f has a horizontal asymptote at y = 0 and satisfies f(0) = 2, f(1) = 3, and f(2) = 4.5. Which of the following equations defines f?

A

$$f(x)=2*(0.5)^x$$

B

$$f(x)=2+1.5*x$$

C

$$f(x)=(1.5)^x+2$$

D

$$f(x)=2*(1.5)^x$$

E

$$f(x)=2*(e)^(1.5*x)$$

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