document.write( "Question 1090243: How do I find the x intercepts, y intercepts , domain, and range of y=ln(x) . I would really want to know how you got the answers if you wouldn't mind explaining (: \n" ); document.write( "

Algebra.Com's Answer #704684 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "1.  x-intercept is the point where y = ln(x) = 0.\r\n" );
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document.write( "    It is the point where the plot y = ln(x) intersect x-axis.\r\n" );
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document.write( "    From  ln(x) = 0   you have  x = 1.\r\n" );
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document.write( "    Hence, the point x = 1 is x-intercept.\r\n" );
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document.write( "2.  There is NO y-intercept\r\n" );
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document.write( "    y-intercept is the point on the plot at x = 0.\r\n" );
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document.write( "    But x = 0 does not belong to the domain of the ln function.\r\n" );
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document.write( "3.  The domain of the the function y = ln(x) is the set of all positive real numbers.\r\n" );
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document.write( "    You can take and calculate ln(x) for any positive real number x.\r\n" );
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document.write( "    You can not take logarithm of 0 (zero) or negative number.\r\n" );
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document.write( "4.  The range of the function y = ln(x) is the set of all real numbers.\r\n" );
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document.write( "    To get it, simply look into the plot of this function (below).\r\n" );
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document.write( "          Plot y = ln(x)\r\n" );
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