Stitz-Zeager_College_Algebra_e-book

1 in section 15 we developed the idea that functions

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Unformatted text preview: As x → −3− , f (x) → ∞ As x → −3+ , f (x) → −∞ Horizontal asymptote: y = 0 As x → −∞, f (x) → 0+ As x → ∞, f (x) → 0+ y 1 −6 −5 −4 −3 −2 −1 1 2 3 x 4 −1 y (e) f (x) = x x2 + x − 12 Domain: (−∞, −4) ∪ (−4, 3) ∪ (3, ∞) x-intercept: (0, 0) y -intercept: (0, 0) Vertical asymptotes: x = −4 and x = 3 As x → −4− , f (x) → −∞ As x → −4+ , f (x) → ∞ As x → 3− , f (x) → −∞ As x → 3+ , f (x) → ∞ Horizontal asymptote: y = 0 As x → −∞, f (x) → 0− As x → ∞, f (x) → 0+ 1 x −7 −6 −5 −4 −3 −2 −1 1 2 −1 (f) f (x) = y 1 −6 −5 −4 −3 −2 −1 −1 1 2 3 4 5 x 4.2 Graphs of Rational Functions 4x x2 + 4 Domain: (−∞, ∞) x-intercept: (0, 0) y -intercept: (0, 0) No vertical asymptotes No holes in the graph Horizontal asymptote: y = 0 As x → −∞, f (x) → 0− As x → ∞, f (x) → 0+ 263 (g) f (x) = 4x 4x = 2−4 x (x + 2)(x − 2) Domain: (−∞, −2) ∪...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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