Answer
Domain: $(-10,\infty)$
Asymptote: $x=-10$
Local extrema: $(-5.87,-3.62)$
Work Step by Step
We are given the function:
$$y=x\log_{10}(x+10).$$
Graph the function.
The domain of the function is:
$$\text{domain}=(-10,\infty).$$
The asymptotes are:
$$x=-10.$$
There is a local minimum:
$$(-5.87,-3.62).$$