document.write( "Question 767017: help please
\n" ); document.write( "Find the VERT. Asym. Horizontal asymmetry, x-int, y-int for :r(x)= 2+x/16-x^2 \n" ); document.write( "

Algebra.Com's Answer #467367 by lwsshak3(11628) $\"\"$ $\"About$

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Find the VERT. Asym. Horizontal asymmetry, x-int, y-int for :r(x)= 2+x/16-x^2
\n" ); document.write( "***
\n" ); document.write( "r(x)= 2+x/16-x^2
\n" ); document.write( "Horizontal asymptote: y=0 or x-axis
\n" ); document.write( "rule: degree of numerator less than degree of denominator.
\n" ); document.write( "..
\n" ); document.write( "Vertical asymptotes:
\n" ); document.write( "set denominator=0, then solve for x
\n" ); document.write( "16-x^2=0
\n" ); document.write( "(4+x)(4-x)=0
\n" ); document.write( "x=-4 and x=4
\n" ); document.write( "..
\n" ); document.write( "y-intercept:
\n" ); document.write( "set x=0
\n" ); document.write( "then solve for y
\n" ); document.write( "y=2/16=1/8
\n" ); document.write( "y-int=1/8
\n" ); document.write( "..
\n" ); document.write( "x-intercept
\n" ); document.write( "set y=0
\n" ); document.write( "2+x=0
\n" ); document.write( "x=-2\r
\n" ); document.write( "\n" ); document.write( "see graph below as a visual check on the solution\r
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%282%2Bx%29%2F%2816-x%5E2%29%29+\"$ \n" ); document.write( "

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