document.write( "Question 748183: Sketch the graph of f(x)= (3(x^2-4))/(x^2-1) give the x and y intercepts and the horizontal and vertical asymptotes \n" ); document.write( "

Algebra.Com's Answer #852534 by ikleyn(53427) $\"\"$ $\"About$

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\n" ); document.write( "Sketch the graph of f(x)= (3(x^2-4))/(x^2-1) give the x and y intercepts
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document.write( "You get vertical asymptotes by equating the denominator to zero\r\n" );
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document.write( "    x^2 - 1 = 0.\r\n" );
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document.write( "From this equation, you find its roots  x = 1 and -1.\r\n" );
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document.write( "The equations of asymptotes are  x = 1  and  x = -1.\r\n" );
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document.write( "You get x- intercepts by equating the numerator to zero\r\n" );
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document.write( "    x^2 - 4 = 0.\r\n" );
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document.write( "From this equation, you find its roots  x = 2 and -2.\r\n" );
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document.write( "Thus, x-intercepts are  x = 2  and  x = -2.\r\n" );
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document.write( "You find y-intercept by taking x = 0 in the formula for the function, so, y-intercept is\r\n" );
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document.write( "    y =  =  = 12.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved. All questions are answered.\r
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\n" ); document.write( "\n" ); document.write( "To plot the function, use free of charge plotting tool at this website\r
\n" ); document.write( "\n" ); document.write( "https://www.desmos.com/calculator/\r
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\n" ); document.write( "\n" ); document.write( "Print there the function formula and get the plot instantly.\r
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