Which function contains the points $(0,6)$ and $(3,48)?$

Select the correct answer below:

$f(x)=3^x$

$f(x)=8^x$

$f(x)=6(2{)}^x$

$f(x)=6(3{)}^x$

$f(x)=2^{x}5$

$f(x)=4^{x}5$