Chapter 1 | Functions and Graphs
33
a. ⎛
⎞ ⎠ ( x ) and b.
⎛ ⎝ g ∘ f
⎞ ⎠ ( x ) Simplify the results. Find the
⎝ f ∘ g
49. The table below lists the NBA championship winners for the years 2001 to 2012. Year Winner
domain of each of the results. 42. f ( x ) =3 x , g ( x ) = x +5 43. f ( x ) = x +4, g ( x ) =4 x −1 44. f ( x ) =2 x +4, g ( x ) = x 2 −2 45. f ( x ) = x 2 +7, g ( x ) = x 2 −3 46. f ( x ) = x , g ( x ) = x +9 47. f ( x ) = 3 g ( x ) = 2 x 48. f ( x ) = | x +1 | , g ( x ) = x 2 + x −4 2 x +1 ,
2001 LA Lakers
2002 LA Lakers
2003 San Antonio Spurs
2004 Detroit Pistons
2005 San Antonio Spurs
2006 Miami Heat
2007 San Antonio Spurs
2008 Boston Celtics
2009 LA Lakers
2010 LA Lakers
2011 Dallas Mavericks
2012 Miami Heat
a. Consider the relation in which the domain values are the years 2001 to 2012 and the range is the corresponding winner. Is this relation a function? Explain why or why not. b. Consider the relation where the domain values are the winners and the range is the corresponding years. Is this relation a function? Explain why or why not. 50. [T] The area A of a square depends on the length of the side s . a. Write a function A ( s ) for the area of a square. b. Find and interpret A (6.5). c. Find the exact and the two-significant-digit approximation to the length of the sides of a square with area 56 square units.
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