document.write( "Question 812418: graph the function\r
\n" ); document.write( "\n" ); document.write( "f(x)= | log(x) | \n" ); document.write( "

Algebra.Com's Answer #489167 by jsmallt9(3758) $\"\"$ $\"About$

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First graph the equation y = log(x). Then, for any part of that graph which is below the x-axis, reflect it to the other side of the x-axis.

\n" ); document.write( "The graph of y = log(x):
\n" ); document.write( " $\"graph%28400%2C+400%2C+-2%2C+4%2C+-3%2C+3%2C+log%2810%2C+%28x%29%29%29\"$
\n" ); document.write( "Note: This graph does not hit the y-axis. But a flaw in algebra.com's graphing software makes it look like it does.

\n" ); document.write( "Now we reflect the part below the x-axis to the other side:
\n" ); document.write( " $\"graph%28400%2C+400%2C+-2%2C+4%2C+-3%2C+3%2C+abs%28log%2810%2C+%28x%29%29%29%29\"$
\n" ); document.write( "Again we have the mistaken appearance that the graph hits the y-axis. Note also that at the point (1, 0) there is a somewhat sharp turn. It is not a smooth curve at that point.
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