Stitz-Zeager_College_Algebra_e-book

Theorem 42 is of no help here since the degree of the

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: nctions Answers x 3x − 6 Domain: (−∞, 2) ∪ (2, ∞) Vertical asymptote: x = 2 As x → 2− , f (x) → −∞ As x → 2+ , f (x) → ∞ No holes in the graph Horizontal asymptote: y = 1− As x → −∞, f (x) → 3 + As x → ∞, f (x) → 1 3 1 3 3 + 7x 5 − 2x Domain: (−∞, 5 ) ∪ ( 5 , ∞) 2 2 Vertical asymptote: x = 5 2 − As x → 5 , f (x) → ∞ 2 + As x → 5 , f (x) → −∞ 2 No holes in the graph 7 Horizontal asymptote: y = − 2 + As x → −∞, f (x) → − 7 2 − As x → ∞, f (x) → − 7 2 (b) f (x) = x x = + x − 12 (x + 4)(x − 3) Domain: (−∞, −4) ∪ (−4, 3) ∪ (3, ∞) Vertical asymptotes: x = −4, x = 3 As x → −4− , f (x) → −∞ As x → −4+ , f (x) → ∞ As x → 3− , f (x) → −∞ As x → 3+ , f (x) → ∞ No holes in the graph Horizontal asymptote: y = 0 As x → −∞, f (x) → 0− As x → ∞, f (x) → 0+ (c) f (x) = 11 x2 x +1 Domain: (−∞, ∞) No vertical asymptotes No holes in the graph Horizontal asymptote: y = 0 As x...
View Full Document

Ask a homework question - tutors are online