document.write( "Question 803414: y = (x3 - 1)(1/4)
\n" ); document.write( "A all real numbers
\n" ); document.write( "B|x|>=1
\n" ); document.write( "Cx>=0
\n" ); document.write( "Dx>=1
\n" ); document.write( "E [0,1]
\n" ); document.write( "F [-1,1] \r
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\n" ); document.write( "\n" ); document.write( ". The graph of y = SQRT(x3 - x) contains which point?
\n" ); document.write( "A (3, 24)
\n" ); document.write( "B(0, 1)
\n" ); document.write( "C(1, 1)
\n" ); document.write( "D(2, 6)
\n" ); document.write( "E (4, 2SQRT(15))
\n" ); document.write( "F none of the above \r
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Algebra.Com's Answer #484354 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
Maybe you meant \"y+=+%28x%5E3+-+1%29%5E%281%2F4%29\"
\n" ); document.write( "\"y+=+%28x%5E3+-+1%29%5E%281%2F4%29\" is a function.
\n" ); document.write( "Its domain can be described as \"x%3E=1\"
\n" ); document.write( "because \"x%3E=1\"<-->\"x%5E3%3E=1\"<-->\"x%5E3-1%3E=0\"<-->\"y=+%28x%5E3+-+1%29%5E%281%2F4%29\" \"exists\".
\n" ); document.write( "The range of \"y+=+%28x%5E3+-+1%29%5E%281%2F4%29\" can be described as \"y%3E=0\"
\n" ); document.write( "because \"y=+%28x%5E3+-+1%29%5E%281%2F4%29\" \"exists\"<-->\"x%5E3-1%3E=0\"<-->\"y=+%28x%5E3+-+1%29%5E%281%2F4%29%3E=0\"
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\n" ); document.write( "\"y=sqrt%28x%5E3-x%29=sqrt%28x%28x%5E2-1%29%29=sqrt%28%28x-1%29x%28x%2B1%29%29\"
\n" ); document.write( "(I transformed it because
\n" ); document.write( "For \"x=0\" and for \"x=1\", \"y=0\", because one of the factors in the square root is zero. (That eliminates points B and C)
\n" ); document.write( "For \"x=2\" \"y=sqrt%281%2A2%2A3%29=sqrt%286%29\" (That eliminates point D)
\n" ); document.write( "For \"x=3\" \"y=sqrt%282%2A3%2A4%29=sqrt%2824%29\" (That eliminates point A)
\n" ); document.write( "For \"x=4\" \"y=sqrt%283%2A4%2A5%29=sqrt%284%29sqrt%283%2A5%29=highlight%282sqrt%2815%29%29\"
\n" ); document.write( "That means that point \"highlight%28E%284%2C2sqrt%2815%29%29%29\" is in the graph, and eliminates the answer \"F none of the above\".
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