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Problem

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21 Dec 2021

Given information

Given that the graph of a following function as required conditions:

Step-by-step explanation

Step 1.
 
 
The graph of   intersects the point  .
 
 
 
The slope of the tangent line to   is 0 at  
 
 
As  increases without bound,   approaches 0 . In other words,  has a horizontal asymptote of  
 
 
 
As   approaches 6 from either side,   decreases without bound. In other words,   has a vertical asymptote of  
 
 
 
The first derivative of   is negative on the given intervals. Therefore,  is decreasing on those intervals.

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