Question

Find al vertical asymptotes and create a rough sketch of the graph near each asymptote Select the correct choice below and, if necessary, fit in the answer boxes) to complete your choice O A The function has one vertical symptote (Type an equation. Usenteers or fractions for any numbers in the equation) OB. The function has three vertical asymptotes. The most asymptote is the middle asymptotes and the rightmost asymptotis (Type an equations. Use integer or fractions for any numbers in the equations) OC. The function has two vertical asymptotes. The loftmost asymptote is and the rightmost asymptotels (Type equations. Use integers or fractions for any numbers in the equations) OD. The function has no vertical asymptotes. Which graph best represents the behavior of f(x) near the vertical asymptotel? Choose the correct graph below ОА Oc OD 10 1 1

Answer 1

If you have any queries related to this question then please ask.

А CH is a vertical chure g Vertical Anympitote for function is a line x=k showeny function fix) becomes In other words, the values unbounded . the ģ function get arbitarily large in the sense iyooo) or regative approches k, either from the lyt from the right. function is f(x) = x-1 (x-1) X2-1 (x-1)(x+1) x+1 sense (yu-co) x Given f(x) = x+ lim = lining X+-+ + xt Xyl- xt1 x=-1 is vertical Anymplote & fres finite (always). Hence The function has one vertical ay mphote at x=-). Hence lim Xxk€ (-1) (A) is Grrect amowel, Since function is unbounded but fro-1 Hence f passes through (0,1) at x=-1. 1 Grrect. -1 2=1, (0-1). Eraph (D) repenent, the behavion of fox) near the vertical anympote.