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. ab a b œ ±"œ ² ±"œ² # # 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 ± ÓÁÒ ² œ ² ² Ó Ò œ ± ÓÁÒ² œ² 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 œ± ²œ ²²œ ²±œ ² $$ $ 24. g x x x x x g x thus the function is even. a b ab ab œ± " œ²± $ ²² " ß %# 25. g x g x . Thus the function is even. œœ œ ² "" ±" ±± " x x # # 26. g x ; g x g x . So the function is odd. a b œ ² œ ² xx 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. œ ² œ Á ² Á ² """ ± ±" t t t 28. Since t | t |, h t h t and the function is even. l ² $ $ ab a b ab 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 œ ±" ² œ² ±" Á ² ² œ² ²" Á² odd. 30. h t 2 t and h t 2 t 2 t . So h t h t and the function is even. œ l l±" ² œ l² l±"œ l l±" œ ² 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 . "Î# The constant of proportionality is estimated from the slope of the regression line, which is 2.03.
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calculus1-2 - Section 1.2 Identifying Functions;...

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