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Pg. 198 Homework

Pg. 198 Homework. Pg. 199 #23,29 – 30 Pg. 206 #3 – 6, 9 – 17 odd , 18 #7 (-1, 0)U(1, ∞) #9 (-2, ∞) #11 (-1, ∞) #13 (-∞, 2) #15 (1, ∞) #17 (-1, 0)U(1, ∞) #19 [-1, 1]U[4, ∞) #21 Graph #26 A(x) = x(335 – 2x) #27 Graph for 0 ≤ x ≤ 167.5

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Pg. 198 Homework

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  1. Pg. 198 Homework • Pg. 199 #23,29 – 30 • Pg. 206 #3 – 6, 9 – 17 odd, 18 • #7 (-1, 0)U(1, ∞) #9 (-2, ∞) • #11 (-1, ∞) #13 (-∞, 2) • #15 (1, ∞) #17 (-1, 0)U(1, ∞) • #19 [-1, 1]U[4, ∞) #21 Graph • #26 A(x) = x(335 – 2x) • #27 Graph for 0 ≤ x ≤ 167.5 • #28 [0, 50]U[117.5, 167.5]

  2. 4.1 Rational Functions and Asymptotes Definition Examples: The following are examples of rational functions. Find their domains: • A rational function is one that can be written in the form:where p(x) and q(x) are polynomial functions and q(x) ≠ 0.

  3. 4.1 Rational Functions and Asymptotes Horizontal Asymptotes Examples Find the horizontal asymptotes of the following functions: • A horizontal asymptote of a rational function shows the end behavior of the function. • As x → +∞, where is f(x) approaching? • As x → -∞, where is f(x) approaching?

  4. 4.1 Rational Functions and Asymptotes Vertical Asymptotes Examples Find the horizontal asymptotes of the following functions: • The vertical line x = h is called a vertical asymptote of a function f if:f(x) → +∞ or f(x) → -∞as x approaches h from the right or from the left. • The function will be undefined at the value of the vertical asymptote.

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