By definition, a function is increasing when the y-value increases as the x-value increases
[tex]\begin{gathered} f(x_1)and a function is decreasing when the y-value decreases as the x-value increases[tex]\begin{gathered} f(x_1)>f(x_2) \\ x_1Using those definitions, we can see that the function[tex]y=|x-1|-2[/tex]
is stricly decreasing on the interval
[tex](-\infty,1)[/tex]
and stricly increasing on the interval
[tex](1,\infty)[/tex]
