document.write( "Question 53515: List the intercepts and test for symmetry.
\n" ); document.write( "y = (x^2 - 5)/2x^3 \n" ); document.write( "
Algebra.Com's Answer #35762 by stanbon(75887)\"\" \"About 
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List the intercepts and test for symmetry.
\n" ); document.write( "y = (x^2 - 5)/2x^3
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\n" ); document.write( "Y-intercept:
\n" ); document.write( "Let x=0 and you get a meaningless fraction.
\n" ); document.write( "So, no Y-intercepts.
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\n" ); document.write( "X-intercepts:
\n" ); document.write( "Let Y=0.
\n" ); document.write( "The fraction is 0 only when the numerator is zero, so:
\n" ); document.write( "x^2-5=0
\n" ); document.write( "x=sqrt5 or x=-sqrt5
\n" ); document.write( "These are the X-intercepts.
\n" ); document.write( "-----------------
\n" ); document.write( "Symmetry:
\n" ); document.write( "f(-x)= (x^2-5)/(-2x^3)
\n" ); document.write( "-f(-x)= (x^2-5)/(2x^3)
\n" ); document.write( "-f(x) does not equal f(x)
\n" ); document.write( "Since f(x) does not equal f(-x) there is no y-axis symmetry
\n" ); document.write( "Since f(x) does equal -f(-x) there is symmetry to the origin.
\n" ); document.write( "Since f(x) does not equal -f(x) there is no x-axis symmetry
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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