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calculus1-2

Thomas' Calculus, Early Transcendentals, Media Upgrade (11th Edition)

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Section 1.2 Identifying Functions; Mathematical Models 9 21. Since f x x x f x . The function is even. a b a b a b œ " œ " œ # # 22. Since f x x x f x x x and f x x x f x x x the function is neither even nor Ò œ Ó Á Ò œ Ó Ò œ Ó Á Ò œ Ó a b a b a b a b a b a b # # # # odd. 23. Since g x x x, g x x x x x g x . So the function is odd. a b a b a b a b œ œ œ œ \$ \$ \$ 24. g x x x x x g x thus the function is even. a b a b a b a b œ \$ " œ \$ " œ ß % # % # 25. g x g x . Thus the function is even. a b a b œ œ œ " " " " x x a b 26. g x ; g x g x . So the function is odd. a b a b a b œ œ œ x x x x " " 27. h t ; h t ; h t . Since h t h t and h t h t , the function is neither even nor odd. a b a b a b a b a b a b a b œ œ œ Á Á " " " " " " t t t 28. Since t | t |, h t h t and the function is even. l œ l œ \$ \$ a b a b a b 29. h t 2t , h t 2t . So h t h t . h t 2t , so h t h t . The function is neither even nor a b a b a b a b a b a b a b œ " œ " Á œ " Á odd. 30. h t 2 t and h t 2 t 2 t . So h t h t and the function is even. a b a b a b a b œ l l " œ l l " œ l l " œ 31. (a) The graph supports the assumption that y is proportional to x. The constant of proportionality is estimated from the slope of the regression line, which is 0.166. (b) The graph supports the assumption that y is proportional to x .

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calculus1-2 - Section 1.2 Identifying Functions...

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