since the function has an absolute value means that we have to graph the positive and negative form, also that it has to be moves 3 units to the right, 1 unit up and has a scale factor of -2.
final function should look like this
The domain of the function is all. values in x that the function can take place in, in this case it means that the domain will be:
[tex](-\infty,\infty)[/tex]the range is all values of the images in x, in this case there is a maximun value which is 1, meaning that the range will be
[tex](-\infty,1\rbrack[/tex]the increasing interval will be when the values tend to get higher values on the y axis, and the decreasing interval will be the contrary, according to this:
[tex]\begin{gathered} (-\infty,3\rbrack\text{ increasing interval} \\ \lbrack3,\infty)\text{ decreasing interval} \end{gathered}[/tex]
