#### Answer

Graph I

#### Work Step by Step

Note that the two graphs in the choices do not have any common point.
Thus, if you can have one point from the given function, you can identify which graph represents the said function.
When $x=0$. the value of $f(x)=5^{x}+1$ is:
$f(0) = 5^{0}+1
\\f(0) = 1+1
\\f(0) = 2$
The graph of the given function contains the point $(0, 2)$.
Only Graph I contains this point.
Therefore, the graph that represent the given function is Graph I.