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
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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