Question: 2x -2(x2 + 4) 4x(x2+ 12) Given the function f(x)= use that f'(x)= x2- 4 ( x 2 - 4 ) 2 and f(x)= (x

 2x -2(x2 + 4) 4x(x2+ 12) Given the function f(x)= use

2x -2(x2 + 4) 4x(x2+ 12) Given the function f(x)= use that f'(x)= x2- 4 ( x 2 - 4 ) 2 and f"(x)= (x - 2) 3 ( x + 2) 3 to answer all of the following: (You need not show your work, but do provide clear and complete answers): (o 1pt) Find the domain of the function f and determine if f is even or odd (or neither). (Sample format of answers: "(-infinity,-3) U (-3,infinity), odd", or "(- infinity,infinity), even".) (a 1 pt) Find all horisontal asymptotes. (Sample format of answers: "None", or "y=3, y= 4", or "y=0".) (b 1pt) Find all vertical asymptotes. (Sample format of answers: "None", or "x=1, x=1", or "x=2".) (c 1pt) Find all intervals where the function is increasing. (Sample format of answers: "(-infinity,-4), (3,7)", or "(7,infinity)", or "none".) (d 1pt) Find all intervals where the function is decreasing. (Sample format of answers: "(-infinity,-4), (3,7)", or "(7,infinityy", or "none".) (e 1 pt) Find all local maxima (Sample format of answers: "(0,3/8), (3,7)", or "(7,0)", or "none") (f 1pt) Find all local minima (Sample format of answers: "(0,-3/8), (3,7)", or "(7,0)", or "none") (g 1pt) Find all intervals where the function is concave up. (Sample format of answers: "(-infinity,-4), (3,7)", or "(7,infinity, or "none".)

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