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Stitz-Zeager_College_Algebra_e-book

# 2 absolute value functions 131 y 3 2 1 1 1 x 1 2 3 ix

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Unformatted text preview: lassmates ﬁnd several “real-world” examples of rates of change that are used to describe non-linear phenomena. 126 Linear and Quadratic Functions 2.1.2 Answers √ √ (c) y − 2 3 = −5(x − 3) √ y = −5x + 7 3 1. (a) y − 4 = 1 (x + 1) 7 1 y = 7 x + 29 7 √ (b) y + 3 = − 2(x − 0) √ y = − 2x − 3 (d) y + 12 = 678(x + 1) y = 678x + 666 5 2. (a) y = − 3 x 8 (c) y = 5 x − 8 (d) y = 9 x − 4 (b) y = −2 47 4 9 3. (a) F (C ) = 5 C + 32 (b) C (F ) = 5 F − 9 160 9 (c) F (−40) = −40 = C (−40). 4. W (x) = 200 + .05x, She must make \$5500 in weekly sales. 5. d(t) = 3t, t ≥ 0. 2 10. N (T ) = − 15 T + 6. E (t) = 360t, t ≥ 0. 7. (−1, −1) and 11 27 5, 5 43 3 Having a negative number of howls makes no sense and since N (107.5) = 0 we can put an upper bound of 107.5◦ on the domain. The lower bound is trickier because there’s nothing other than common sense to go on. As it gets colder, he howls more often. At some point it will either be so cold that he fre...
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