Respuesta :

There are two sections in which the function decreases, otherwise it is increasing.  
The first is between -1 and 1, and the second is between 3 and 5. 
The inequality for C applies to the first part, and the inequality for E applies to the second part. 

By the way, if it helps, I think of inequalities as an alligator's mouth- it wants to eat the bigger quantity!

Hope this helps!

we know that

The rate of change of the function is equal to the slope of the function

The function in the graph is increasing in the intervals

[tex](-7,-3)\\(-3,-1)\\(1,3)[/tex]

The function in the graph is decreasing in the intervals

[tex](-1,1)\\(3,5)[/tex]

In the interval [tex](5,7)[/tex] the rate of change is zero

therefore

the answer is

the option C and option E

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