Stitz-Zeager_College_Algebra_e-book

254 rational functions y 8 7 6 5 0 0 2 1 5 2 4 3 3 1 9

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Unformatted text preview: w: • Find the domain of f . • Identify any vertical asymptotes of the graph of y = f (x) and describe the behavior of the graph near them using proper notation. • Identify any holes in the graph. • Find the horizontal asymptote, if it exists, and describe the end behavior of f using proper notation. x 3x − 6 3 + 7x (b) f (x) = 5 − 2x x (c) f (x) = 2 x + x − 12 x (d) f (x) = 2 x +1 (a) f (x) = x+7 (x + 3)2 x3 + 1 (f) f (x) = 2 x −1 4x (g) f (x) = 2 x +4 4x (h) f (x) = 2 x −4 x2 − x − 12 x2 + x − 6 3x2 − 5x − 2 (j) f (x) = x2 − 9 x3 + 2 x2 + x (k) f (x) = 2 x −x−2 (e) f (x) = (i) f (x) = 2. In Exercise 11 in Section 1.5, the population of Sasquatch in Portage County was modeled by the function P (t) = t150t , where t = 0 represents the year 1803. Find the horizontal +15 asymptote of the graph of y = P (t) and explain what it means. 3. In Exercise 8 in Section 3.1, we fit a few polynomial models to the following electric circuit data. (The circuit was built with a variable...
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