Answer:
<u>Parent function</u>

Since we cannot take logs of zero or negative numbers, the domain is
and there is a vertical asymptote at
.
There are no horizontal asymptotes and the range is
.
The end behaviors of the parent function are:


To determine the attributes of the given function, compare the given function with the parent function.
<u>Given function</u>
<u />
The given function is <u>reflected in the x-axis</u>. Therefore, the end behaviors are a reflection of those of the parent function:


As the given function is <u>translated vertically</u> (5 units up) only, the domain, range and asymptote will not change, since the function has not been translated horizontally.



<u>Conclusion</u>
The function f(x) is a
function with a
asymptote of
.
The range of the function is
, and it is
on its domain of
.
The end behavior on the LEFT side is as
,
, and the end behavior of the RIGHT side is
,
.