Let () = 2 4, () = 2+ 4, and () = + 5. Without a

Chapter , Problem 11.5.16

(choose chapter or problem)

Let () = 2 4, () = 2+ 4, and () = + 5. Without a calculator, match the functions in (a)(f) to the descriptions in (i)(viii). Some of the functions may match none of the descriptions. (a) = () () (b) = () () (c) = () () (d) = ( 1 ) (e) = () () (f) = (2) () (g) = 1 () (h) = ()() (i) Horizontal asymptote at = 0 and one zero at = 5. (ii) No horizontal asymptote, no zeros, and a vertical asymptote at = 5. (iii) Zeros at = 5, = 2, and = 2. (iv) No zeros, a horizontal asymptote at = 0, and a vertical asymptote at = 5. (v) Two zeros, no vertical asymptotes, and a horizontal asymptote at = 1. (vi) No zeros, no vertical asymptotes, and a horizontal asymptote at = 1. (vii) Horizontal asymptote at = 4. (viii) No horizontal asymptotes, two zeros, and a vertical asymptote at = 5.