document.write( "Question 525616: Would you be so kind as to help me with this?\r
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document.write( "I have to graph each function and state it's domain and range.\r
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document.write( "y = sqrt(x+1)+4\r
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document.write( "Thank you so much \n" );
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Algebra.Com's Answer #348526 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! I have to graph each function and state it's domain and range. \n" ); document.write( "y = sqrt(x+1)+4 \n" ); document.write( "** \n" ); document.write( "y=√(x+1)+4 \n" ); document.write( "Domain: \n" ); document.write( "Since there are no denominators, the only restriction is in the radical. \n" ); document.write( "In all sqrts, the radican must be≥0 \n" ); document.write( "x+1≥0 \n" ); document.write( "x≥-1 \n" ); document.write( "Domain:[-1,∞) \n" ); document.write( "Range:[4,∞) (basic √x curve bumped up 4 units)\r \n" ); document.write( "\n" ); document.write( ".. \n" ); document.write( "Graphing: \n" ); document.write( "Start with the basic √x with points at (0,0), (1,1) (9,3) and (16,4) \n" ); document.write( "Move x coordinates one unit to the left (-1,0), (0,1) (8,3) and (15,4) \n" ); document.write( "Finally, add 4 units to the y-coordinate: (-1,4), (0,5) (8,7) and (15,8) \n" ); document.write( "In effect, you are shifting the basic √x curve one unit to the left and raising it 4 units vertically. \n" ); document.write( "see graph below as a visual check on the answers: \n" ); document.write( ".. \n" ); document.write( " |