x 2 +25 -26x 78(x 2-4) iven the function f(x)=- use that f(x)= x 2 + 12 ( x 2 + 12 ) 2 and f'(x)= (x 2+ 12)3 to answer all of the following: ou need not show your work, but do provide clear and complete answers): 1 pt) 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".) 1pt) Find all horisontal asymptotes. (Sample format of answers: "None", or "y=3, y=-4", or "y=0".) 1pt) Find all vertical asymptotes. (Sample format of answers: "None", or "x=1, x=-1", or "x=2".) 1pt) Find all intervals where the function is increasing. (Sample format of answers: "(-infinity,-4), (3,7)", or "(7,infinity)", or "none".) d 1 pt) Find all intervals where the function is decreasing. (Sample format of answers: "(-infinity,-4), (3,7)", or "(7,infinity)", or "none".) e 1pt) Find all local maxima (Sample format of answers: "(0,3/8), (3,7)", or "(7,0)", or "none") (f 1 pt) 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".) (h 1 pt) Find all intervals where the function is concave down. (Sample format of answers: "(-infinity,-4), (3,7)", or "(7,infinity)", or "none".) (i 1 pt) Find all inflection points. (Sample format of answers: "(-1,4)", or "None".) (The answers in this problem will be used in the next one, write them down for yourself. Note that this problem will be graded manually by your instructor, which will take some time.)