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Determine the intervals where the function is:

1. increasing 

2. decreasing

3. constant

Also, what are the intervals where the function is:

 positive

 negative

 

 Mar 18, 2019
edited by jj88778  Mar 18, 2019
 #1
avatar+111394 
+1

We  go from left to  right

 

Increasing  -  intervals  on x where the function "rises"  from left to right  = (-inf, -2) and (3, inf )

 

Decreasing  - intervals on x  where the function "falls" from left to right  = (1, 3)

 

Constant  -  intervals where the function neither rises or falls  =  (-2 , 1 )

 

 

cool coolcool

 Mar 18, 2019
 #2
avatar+168 
0

Thanks! How can we determine the intervals where the function is positive and negative?

jj88778  Mar 18, 2019
edited by jj88778  Mar 18, 2019
 #3
avatar+111394 
+1

Sorry.....forgot to include that...!!!

 

Positve where the function is above the x axis

 

This occurs at   (-3.5, 2.5)  and ( ≈3.4, inf )

 

 

Negative where it is below the x axis

 

This occurs at  ( -inf, -3.5)   and (2.5, ≈ 3.4)

 

 

cool cool cool

CPhill  Mar 18, 2019
 #4
avatar+168 
0

Appreciate it!!

I have just one other question on this if it's ok. how can i find the relative maximum and relative minimum of this function?

jj88778  Mar 18, 2019
 #5
avatar+111394 
+1

Relative max  =  3

 

Relative min =   - 1

 

 

cool  cool cool

 Mar 18, 2019

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