APFIVE Equation of an Exponential Function
Without a calculator: An exponential function is known to be increasing with a horizontal asymptote at y = 0 and satisfies f(0) = 2. The table shows that f(1) = 3 and f(2) = 4.5. Which equation correctly represents this function?
| x | f(x) |
|---|---|
| 0 | 2 |
| 1 | 3 |
| 2 | 4.5 |
| Note: The function values suggest an exponential growth pattern with a horizontal asymptote at y = 0. |
A
$$f(x)=2*(e)^(1.5*x)$$
B
$$f(x)=2*(1.5)^x$$
C
$$f(x)=(1.5)^x+2$$
D
$$f(x)=2*(0.5)^x$$
E
$$f(x)=2+1.5*x$$
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