Unformatted text preview: x + 1) / p 5 x 2 + 35 12. y = x 5x 13. y = 6 x + sin 3 x 14. y = x + 1 /x 15. y = x 2 + 1 /x 16. y = ( x + 5) 1 / 4 17. y = tan 2 x 18. y = cos 2 xsin 2 x 19. y = sin 3 x 20. y = x ( x 2 + 1) 21. y = x 3 + 6 x 2 + 9 x 22. y = x/ ( x 29) 23. y = x 2 / ( x 2 + 9 24. y = 2 √ xx 25. y = 3 sin( x )sin 3 ( x ), for x ∈ [0 , 2 π ] 26. y = ( x1) / ( x 2 ) For each of the following ﬁve functions, identify any vertical and horizontal asymptotes, and identify intervals on which the function is concave up and increasing; concave up and decreasing; concave down and increasing; concave down and decreasing. 27. f ( θ ) = sec( θ ) 28. f ( x ) = 1 / (1 + x 2 ) 29. f ( x ) = ( x3) / (2 x2) 30. f ( x ) = 1 / (1x 2 ) 31. f ( x ) = 1 + 1 / ( x 2 ) 32. Let f ( x ) = 1 / ( x 2a 2 ), where a ≥ 0. Find any vertical and horizontal asymptotes and the intervals upon which the given function is concave up and increasing; concave up and...
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 Fall '07
 JonathanRogawski
 Math, Calculus, Asymptotes, Derivative, Even and odd functions, Convex function, Types of functions

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