Stitz-Zeager_College_Algebra_e-book

Since this will never happen we conclude the graph

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Unformatted text preview: → −2− , f (x) → −∞ As x → −2+ , f (x) → ∞ As x → 2− , f (x) → −∞ As x → 2+ , f (x) → ∞ No holes in the graph Horizontal asymptote: y = 0 As x → −∞, f (x) → 0− As x → ∞, f (x) → 0+ (h) f (x) = x2 − x − 12 x−4 = x2 + x − 6 x−2 Domain: (−∞, −3) ∪ (−3, 2) ∪ (2, ∞) Vertical asymptote: x = 2 As x → 2− , f (x) → ∞ As x → 2+ , f (x) → −∞ 7 Hole at −3, 5 Horizontal asymptote: y = 1 As x → −∞, f (x) → 1+ As x → ∞, f (x) → 1− (i) f (x) = 245 (3x + 1)(x − 2) 3x2 − 5x − 2 = 2−9 x (x + 3)(x − 3) Domain: (−∞, −3) ∪ (−3, 3) ∪ (3, ∞) Vertical asymptotes: x = −3, x = 3 As x → −3− , f (x) → ∞ As x → −3+ , f (x) → −∞ As x → 3− , f (x) → −∞ As x → 3+ , f (x) → ∞ No holes in the graph Horizontal asymptote: y = 3 As x → −∞, f (x) → 3+ As x → ∞, f (x) → 3− (j) f (x) = x3 + 2 x2 + x x(x + 1) = 2−x−2 x x−2 Domain: (−∞, −1) ∪ (−1, 2) ∪ (2, ∞) Vertical asymptote:...
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