document.write( "Question 1034609: For x > 0, which of these statements best describe the graph of y = x^0.25
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document.write( "The slope is greater than zero and is decreasing.
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document.write( "The slope is greater than zero and is increasing.
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document.write( "The slope is less than zero and is decreasing.
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document.write( "The slope is less than zero and is increasing.
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document.write( "None of the above \n" );
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Algebra.Com's Answer #649275 by Theo(13342)![]() ![]() You can put this solution on YOUR website! you might want to look at a few points to see what's happening.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the equation is y = x^.25.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this is the same as y = fourth root of x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this can also be written as y = x^(1/4).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let's look at x = 1,2,3,4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when x = 1, y = 1 \n" ); document.write( "when x = 2, y = 1.1892071 \n" ); document.write( "when x = 3, y = 1.316074 \n" ); document.write( "when x = 4, y = 1.4142136\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the slope between x = 1 and x = 2 is equal to (1.1892071) / 1 = .1892071.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the slope between x = 2 and x = 3 is equal to (1.316074 - 1.1892071) / 1 = .13268669.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the slope between x = 3 and x = 4 is equal to (1.4142136 - 1.316074) / 1 = .0981396.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "looks like the slope is greater than zero and it is decreasing.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the graph of y = x^.25 is shown below:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can see that the curve of the line rises less quickly as the value of x increases.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |