Stitz-Zeager_College_Algebra_e-book

# I the hydrogen ion concentration of pure water is h

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Unformatted text preview: ath for x ≥ 0. What is the signiﬁcance of the y -intercept of the graph? (b) Determine the path Fritzy will take if Chewbacca runs exactly twice as fast as he does; that is, v1 = 2v2 . Use your calculator to graph this path for x > 0. Describe the behavior of y as x → 0+ and interpret this physically. (c) With the help of your classmates, generalize parts (a) and (b) to two cases: v2 > v1 and v2 < v1 . We will discuss the case of v1 = v2 in Exercise 10 in Section 6.5. 324 5.3.2 Further Topics in Functions Answers √ 1. (a) f (x) = 1 − x2 Domain: [−1, 1] (+) 0 y 0 1 −1 1 No asymptotes Unusual steepness at x = −1 and x = 1 No cusps −1 1 x y 16x (b) f (x) = x2 − 9 Domain: (−3, 0] ∪ (3, ∞) (+) (+) 0 4 5 4 3 −3 0 3 Vertical asymptotes: x = −3 and x = 3 Horizontal asymptote: y = 0 Unusual steepness at x = 0 No cusps 2 1 −3 −2 −1 2 3 4 5 6 5 4 3 2 0 7 No vertical or horizontal asymptotes12 Unusual steepness at x = 7 Cusp at x = 0 1 −3 −2 −1 −1 1 2 3 4 5 6 1 2 3 4 x −2 −3 −4 y 5x x3 + 8 Do...
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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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