Question

Have a great rest of the summer D Question 19 16 pts For the rational function: R(x) 3-23-15 3468+0 a) Find the intercepts and tell the behavior of the graph at each x-intercept. b) Find the asymptotes, if any.

Answer 1

x-intercept = Set R (X) = 0 => [d=5 x-5 x+3 X-intercept = 5 ot (5,0) Behaviour at each x-intercept, Here R(2) = = x-5 x+3 = 1 x-intercept =s. Degree multiplicity -:(8-5) We know that for odd multiplicity behaviour is Gloss y f ya 5

0 5

x+3 B.Vertical asymptotes = R(M)-x-5 When denaminator = 0, x+ 3 = 0 => [de=-3 Vertical asymptotes at (x= -3] Hoziton Horizontal Asymptotes: Her R(W) = x-5 x+3 Degree of numerator is equal to the Degree of denominator i horizontal asymptote at ratio of leading coefficients. ie y = coefficient of x (Degree = 1) coefficient of a y- +-1 Hosrizontal Asymptotes at (4=))

20- -10- -10 0 10 -10-