Question
Asked Jul 9, 2019
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Which is the result?

or decreasing. Then find the open intervals analytically. (Select all that apply.)
Use the graph to estimate the open intervals on which the function is increasing
2
4
-10 -8
1
f() 1
Increasing:
(00, 1)
(1, 0)
(co 0)
none of these
Decreasing:
(o,1)
(1, co)
(0, co)
none of these
X
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or decreasing. Then find the open intervals analytically. (Select all that apply.) Use the graph to estimate the open intervals on which the function is increasing 2 4 -10 -8 1 f() 1 Increasing: (00, 1) (1, 0) (co 0) none of these Decreasing: (o,1) (1, co) (0, co) none of these X

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Expert Answer

Step 1

We are given a function as

 

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1 f(x) (x+1

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Step 2

We can find derivative and then set top and bottom term to 0

and then we solve for x

 

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1 f(x)x1) d 1 f'(x)= d(x+1 (x+1)) dx 2 1 (x1) 2 f'(x) (x1) (x 10 (r1)0

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Step 3

Now, we can draw a number line 

and locate x=-1 

and then we can check sign of first derivative on each intervals

...
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-1

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