Equation of an Exponential Function

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?

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

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

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

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

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

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