Stitz-Zeager_College_Algebra_e-book

2 doesnt apply we know from our attempt to reduce rx

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Unformatted text preview: x = 2 As x → 2− , f (x) → −∞ As x → 2+ , f (x) → −∞ Hole at (−1, 0) No horizontal asymptote As x → −∞, f (x) → −∞ As x → ∞, f (x) → ∞ (k) f (x) = 2. The horizontal asymptote of the graph of P (t) = t150t is y = 150 and it means that the model +15 predicts the population of Sasquatch in Portage County will never exceed 150. 3. (a) (b) The maximum power is approximately 1.603 mW which corresponds to 3.9 k Ω. (c) As x → ∞, P (x) → 0+ which means as the resistance increases without bound, the power diminishes to zero. 246 4.2 Rational Functions Graphs of Rational Functions In this section, we take a closer look at graphing rational functions. In Section 4.1, we learned that the graphs of rational functions may include vertical asymptotes, holes in the graph, and horizontal asymptotes. Theorems 4.1 and 4.2 tell us exactly when and where these behaviors will occur, and if we combine these results with what we already know about graphing functions, we will quickly be able to generate reasonable graphs of...
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