Question

PLEASE HELP ASAP !!!! Drag each interval to a box to show if the function is increasing,decreasing,or neither over that interval. -9<×<-6, -6<×<-4, -4<×<-1, -13<×<-12, -12<×<-9. Increasing, Decreasing, Neither Increasing or Decreasing ​

Answer 1

`-13 <x <-12` Neither Increasing or Decreasing ​

`-12 <x <-9` Increasing

`-9 <x <-6` Decreasing

`-6 <x <-4` Increasing

`-4 <x <-1` Neither Increasing or Decreasing ​

Explanation:

To know if the graph of a function is growing or decreasing you must use the graph to verify what happens when x increases.

If when x increases y decreases, then the function is decreasing.

If when x increases y increases, then the function is growing.

Let's look at the

First interval.

`-13 <x <-12` Note that the value of y is always equal in this interval, therefore the function is not increasing or decreasing.

Second interval

`-12 <x <-9`

Note that when x increases from -12 to -10, the value of y increases from y = 1 to y = 3.

Then the function is increasing in this interval

Third interval

`-9 <x <-6`

Note that when x = -9 y= 8, but when x approaches -6 then y approaches 7.

Therefore in this interval the function is decreasing.

Fourth interval

`-6 <x <-4`

When x = -6 y = 7 and at the end of the interval when x = -4 then y = 11

The function is increasing.

Fifth interval

`-4 <x <-1`

The value of y remains constant throughout the interval. So the function is not increasing and it is not decreasing