we have
[tex]f\left(x\right)=-\left|x-2\right|-1[/tex]
using a graphing tool
see the attached figure
The vertex is the point [tex](2,-1)[/tex]
The domain is the interval-----------> (-∞,∞)
Domain is all real numbers
The range is the interval---------> (-∞,-1]
Range is all real numbers less than or equal to [tex]-1[/tex]
The answer in the attached figure
