Identify the intervals on which the function is strictly increasing , strictly decreasing , or constant. y=|x-1|-2

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asked Sep 15, 2023 210k views

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Joe Shanahan · Answer 1 · 2023-09-20T19:32:24+0000

By definition, a function is increasing when the y-value increases as the x-value increases

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

is stricly decreasing on the interval

$(-\infty,1)$

and stricly increasing on the interval

$(1,\infty)$

Identify the intervals on which the function is strictly increasing , strictly decreasing , or constant. y=|x-1|-2

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