8. (18 pts.) The following information is given for a function x): (i) f '3 dened on the whole real number line except at a: = 1; .. , __ 3+1 ,, __ Zr+4 ' (n)f(1:)- (:_l)33 f(1)_($_1)43 I#1i (m) hm 1(2) =0, 111.51\" 1(3) = o and 331 an) = co: Iw (iv) flu) = 0! f("1) = _1/41 f(2) = '2/91 f(2) _= 2' Use the above information to ll in the following blanks: (a) intervals where f is increasing intervals where f is decreasing (1:) intervals where f is concave up intervals where f is concave down (c) local extreme points of f poinm of inection of f (d) horizontal asymptote of f vertical asymptote of f Then sketch the graph of the function f based on the results in (a)-(d) and using the points given in (iv)