Answer
$ f(x)=6^{x}$
Work Step by Step
The graph is above the x-axis, rises from the left to right and passes through (0,1)
$\Rightarrow $ The base is greater than 1, no left/right shifts, no reflections.
It passes through $(1,6)$, so we assume that the base is $6,\ f(x)=6^{x}$, and we check with the other points:
$(6)^{-1}=\displaystyle \frac{1}{6}\quad $ ... point $(-1,\displaystyle \frac{1}{6})\quad $ ... OK
$(6)^{2}=36\quad $ ... point $(2,36)\quad $ ... OK
$ f(x)=6^{x}$
