document.write( "Question 497745: Hi I need help on solving for the Domain, Range, X and Y Intercepts, and Aymptotes of How would I go about solving for these? Thank you! \n" );
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Algebra.Com's Answer #336854 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Domain, Range, X and Y Intercepts, and Aymptotes of y= 5/x -1 \n" ); document.write( "** \n" ); document.write( "y= 5/x -1 \n" ); document.write( "y=(5-x)/x \n" ); document.write( ".. \n" ); document.write( "Domain: \n" ); document.write( "Function becomes undefined when x=0 \n" ); document.write( "Domain:x≠0 \n" ); document.write( "(-∞, 0) U (0, ∞) \n" ); document.write( ".. \n" ); document.write( "Range: \n" ); document.write( "solve for x in terms of y \n" ); document.write( "xy=5-x \n" ); document.write( "xy+x=5 \n" ); document.write( "x(y+1)=5 \n" ); document.write( "x=5/(y+1) \n" ); document.write( "Range: y≠-1 \n" ); document.write( "(-∞, -1) U (-1, ∞) \n" ); document.write( ".. \n" ); document.write( "x-intercept: \n" ); document.write( "Set y=0. then solve for x \n" ); document.write( "5-x=0 \n" ); document.write( "x=5 \n" ); document.write( "x-intercept=5 \n" ); document.write( ".. \n" ); document.write( "y-intercept \n" ); document.write( "set x=0, then solve for y \n" ); document.write( "When x=0, y becomes undefined \n" ); document.write( "y-intercept: none \n" ); document.write( ".. \n" ); document.write( "Vertical asymptote: \n" ); document.write( "Set denominator =0, then solve for x \n" ); document.write( "vertical asymptote:x=0 or y-axis \n" ); document.write( ".. \n" ); document.write( "Horizontal Asymptote: \n" ); document.write( "When degree of both numerator and denominator the same, as in this case, divide the coefficient of x in the numerator by the coefficient of x in the denominator. The quotient is the horizontal asymptote. -1/1=-1 \n" ); document.write( "Horizontal Asymptote: y=-1\r \n" ); document.write( "\n" ); document.write( "see graph below as a visual check on the answers \n" ); document.write( ".. \n" ); document.write( " |