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Unformatted text preview: FALL 2009, MAP 103 ALGEBRA, MIDTERM II REVIEW (1) Explain why the relation R = { ( 1 , 2) , (2 , 6) , (3 , 5) , (5 , 4) , (5 , 5) , (6 , 8) } does not give a function. (2) Let S = { ( x,y )  y 2 = x, x > } . Does S describe a function? (3) A relation has the formula f ( x ) = 1 x 1 . Is the graph, f , of f ( x ) a function? Is it 1 1? Is it onto? (4) Find one example to support the statement that a function is a re lation, but a relation need not be a function. (5) Find the equation of a linear function f ( x ) = ax + b satisfying that f ( 1) = 6 and f (5) = 4 . From the equation of f ( x ) , find f (0) . What point on the graph of f ( x ) is found by finding f (0)? (6) Let g ( x ) = 2 x +1 . Find the equation of a linear function f ( x ) that is perpendicular to g ( x ) and passes through the point ( 1 , 0) . (7) Determine whether the following statement is true: A vertical line x = c is always a function....
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 Fall '08
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