Stitz-Zeager_College_Algebra_e-book

This is end behavior unlike any weve ever seen

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Unformatted text preview: → −∞, f (x) → 0− As x → ∞, f (x) → 0+ (d) f (x) = 1. (a) f (x) = x2 x+7 (x + 3)2 Domain: (−∞, −3) ∪ (−3, ∞) Vertical asymptote: x = −3 As x → −3− , f (x) → ∞ As x → −3+ , f (x) → No holes in the graph Horizontal asymptote: y = 0 11 As x → −∞, f (x) → 0− As x → ∞, f (x) → 0+ (e) f (x) = x3 + 1 x2 − x + 1 = x2 − 1 x−1 Domain: (−∞, −1) ∪ (−1, 1) ∪ (1, ∞) Vertical asymptote: x = 1 As x → 1− , f (x) → −∞ As x → 1+ , f (x) → ∞ Hole at (−1, − 3 ) 2 No horizontal asymptote As x → −∞, f (x) → −∞ As x → ∞, f (x) → ∞ (f) f (x) = 4x x2 + 4 Domain: (−∞, ∞) No vertical asymptotes No holes in the graph Horizontal asymptote: y = 0 As x → −∞, f (x) → 0− As x → ∞, f (x) → 0+ (g) f (x) = This is hard to see on the calculator, but trust me, the graph is below the x-axis to the left of x = −7. 4.1 Introduction to Rational Functions 4x 4x = x2 − 4 (x + 2)(x − 2) Domain: (−∞, −2) ∪ (−2, 2) ∪ (2, ∞) Vertical asymptotes: x = −2, x = 2 As x...
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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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