Please helpppppppppppp and find the intervals of increasing and decreasing for piecewise function

Please Helpppppppppppp And Find The Intervals Of Increasing And Decreasing For Piecewise Function class=

Answer :

One good way to see these intervals is to plot the graph of this function. I did this and I will attach a picture of the function just for you to see it better:

See that the function is increasing in the interval:

[tex]\rbrack-\infty,1\lbrack[/tex]

Then after x = -1 it starts decreasing at this interval:

[tex]\lbrack-1,0\rbrack[/tex]

And start increasing again in the interval:

[tex]\lbrack0,1\rbrack[/tex]

After that, the function is constant at y = 1! The '[]' is the x interval of values. Thus, for example, [-1,0] means -1 until zero.

View image AUGUSTINEG357212