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Any help on this would be appreciated: 

Julius  Apr 6, 2018
 #3
avatar+7336 
+4

I THINK the graph of  y = f(x)  looks something like this.....

 

 

f’(0)  =  0  so  when  x = 0  the slope of f(x) is  0

f’(1)  =  3  so  when  x = 1  the slope of f(x) is  3

f’(3)  =  1  so  when  x = 3  the slope of f(x) is  1

 

When  x  is between 0  and  1  the slope is smaller, closer to zero, than it is when  x = 1 .

 

Notice that there is a value between  0  and  1  that also makes the slope be  1 .

 

When  x  is greater than  1  the slope is closer to zero than it is when  x = 1 .

 

f’(-1)  =  -3  so  when  x = -1  the slope of f(x) is  -3

f’(-3)  =  -1  so  when  x = -3  the slope of f(x) is  -1

 

When  x  is between  0  and  -1  the slope is closer to zero than it is when  x = -1 .

 

When  x  is less than  -1  the slope is closer to zero than it is when  x = -1 .

hectictar  Apr 6, 2018
edited by hectictar  Apr 6, 2018
 #4
avatar+93916 
+2

I agree with Hectictar :)

There are points of inflection at x=1 and at x=-1 

Melody  Apr 7, 2018

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