Respuesta :

Answer:

A)  increasing x > -1 ; decreasing x <-1

Step-by-step explanation:

We use the given graph to find the intervals where the function is increasing , decreasing and constant

We analyze the graph from the left

From the left the graph starts decreasing and it is decreasing till -1

From the point (-1,0) the graph changes direction and starts increasing

So we can say that the function is decreasing from -infinity to -1

and increasing from -1 to infinity

decreasing from -infinity to -1 means decreasing x <-1

increasing from -1 to infinity means increasing x > -1

aksnkj

Answer:

The function is increasing in the interval [tex](-1,\infty )[/tex] or [tex]x>-1[/tex] and decreasing in the interval [tex](-\infty , -1)[/tex] or [tex]x<-1[/tex].

Step-by-step explanation:

The given graph is a modulus function.

Now, from the graph, it it clear that the function is decreasing from negative of infinity to [tex]-1[/tex]. And after [tex]-1[/tex], the value of the function tends to increase till positive of infinity.

As per the definition, when the value of function increases, then it is increasing function in that interval, and vice versa.

It also be seen as, the line on the left of [tex](-1,0)[/tex] has negative slope, which indicates decreasing function. And the line to the right of [tex](-1,0)[/tex] has positive slope, which indicates increasing function.

Therefore, the function is increasing in the interval [tex](-1,\infty )[/tex] or [tex]x>-1[/tex] and decreasing in the interval [tex](-\infty , -1)[/tex] or [tex]x<-1[/tex].

It should also be noted that the function is nowhere constant as the value of the function is changing always.

For more details, refer the link:

https://brainly.com/question/14330051?referrer=searchResults

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