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Math·Advanced Math·Nonlinear functions

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$x$	$g(x)$
-1	27
0	1
1	$\frac{1}{27}$
2	$\frac{1}{729}$

For the exponential function $g$, the table shows four values of $x$ and their corresponding values of $g(x)$. Which equation defines $g$?

A

$g(x)=-27^x$

B

$g(x)=-{\left(\frac{1}{27}\right)}^x$

C

$g(x)=27^x$

D

$g(x)={\left(\frac{1}{27}\right)}^x$