Question

Select all that apply

Answer 1

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

`(-7,-3)\\(-3,-1)\\(1,3)`

The function in the graph is decreasing in the intervals

`(-1,1)\\(3,5)`

In the interval
`(5,7)` the rate of change is zero

therefore

the answer is

the option C and option E

Answer 2

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!