document.write( "Question 492058: what is the x intercept as an ordered pair and what is the vertical asymptotes as equations of vertical lines f(x)=(4x^3-64x)/(x^2+6) \n" ); document.write( "

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what is the x intercept as an ordered pair and what is the vertical asymptotes as equations of vertical lines f(x)=(4x^3-64x)/(x^2+6)
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\n" ); document.write( "f(x)=(4x^3-64x)/(x^2+6)
\n" ); document.write( "To find the x-intercepts, set y=0, then solve for x by setting the numerator=0.
\n" ); document.write( "4x^3-64x=0
\n" ); document.write( "4x(x^2-16)
\n" ); document.write( "4x(x+4)(x-4)
\n" ); document.write( "x-intercepts: (-4,0), (0,0) and (4,0)
\n" ); document.write( "..
\n" ); document.write( "Vertical asymptotes
\n" ); document.write( "Normally, to find the vertical asymptotes, set the denominator=0, then solve for x. In given case, there is no vertical asymptote because the denominator can never be equal=0. You will get a non-real number when solving for x.
\n" ); document.write( "x^2+6=0
\n" ); document.write( "x^2=-6
\n" ); document.write( "x=ą√-6
\n" ); document.write( "..
\n" ); document.write( "For your information, when vertical asymptotes are present, they are written as equations like x=1, x=3, x=5,... etc \n" ); document.write( "

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