Algebra 2 Companion Book, Volume 2

6.2 Review Worksheet, Part 1 (continued)

Identify whether the function graphed has an odd or even degree and a positive or negative leading coefficient. 30. 31. 32. 33.

Graph each function. 34. f ( x ) = − − + f x x x x ( ) 3 2

7 3

43 3

35. f ( x ) = 25 x 2 − 4

5

37. f ( x ) = + + + f x x x x ( ) 13 2 11 4 3 2

36. f ( x ) = x 4 + x 3 − 28 x 2 + 20 x + 48

Graph each function on a calculator, and estimate the local maxima and minima. 38. f ( x ) = 9 x 6 + 20 39. f ( x ) = x 3 − 4 x 2 + x + 1

40. f ( x ) = − x 2 + 6 x − 10

41. f ( x ) = − 5 x 2 + 7

42.  The volume of air (in liters) in the human lung during one normal breath can be modeled by the function V ( t ) = − 1.7 t 2 + 1.7 t + 3, for 0 ≤ t ≤ 1. What is the maximum volume of air in the lungs during a normal breath, and at what time does it occur?

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