Stitz-Zeager_College_Algebra_e-book

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

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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...
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