Question: A function is given below along with its first and second derivative f (x) = x + 3 /(x +1) 2 , f ' =

A function is given below along with its first and second derivative

f (x) = x + 3 /(x +1)² , f ' = - x +5/ (x +1)³ , f '' = 2x+14/ (x +1)⁴

Find the domain , the x and y intercepts , any vertical and horizontal asymptotes , any critical numbers , the intervals of increase or decrease , any inflection points , the intervals of concave up and down , graph the function and carefully label the x and y intercept , local extrema and inflection points.

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