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find the minimum and maximum and find the vertical asymptotes

find the minimum and maximum and find the vertical asymptotes

Description

1)   
Hint:  
 

a)Find the domain  
b) Find the equation of the vertical asymptote
c) Find the x-intercept(s), if any
d) Find the y-intercept, in there is one
e) Find all horizontal asymptotes
f) Find the interval(s) where the graph of the function is increasing
g) Find the interval(s) where the graph of the function is decreasing
h) Find all relative maxima
i) Find all relative minima
j) Find the interval(s) where the graph of the function is concave up (if any)
k) Find the interval(s) where the graph of the function is concave down (if any)
l) Find all inflection points (if any)
m) Sketch a graph (Hint: If a number is not in the domain of the function, It will not be an inflection point as well. )

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