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MAP 103: Proficiency Algebra, Quiz #3, Fall 2009 SOLUTIONS 1. Consider a relation R = { ( - 1 , 1) , (0 , 1) , (2 , 4) , (5 , 5) , (5 , 6) , (6 , 2) , (10 , 8) } . (a) State the domain and range of R.
(b) Is the relation given by R a function? Explain.
(c) Is the relation given by R a 1 - 1 function?
(d) Is the relation given by R an onto function?
2. Consider two functions f ( x ) = 1 - x and g ( x ) = x 2 - 1 . (a) Find ( f + g )(2) .
(b) Determine the domain of ( f + g )( x ) .

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