document.write( "Question 104794: Given the function: h(x)= 2x+6 over (divided by) 7x +10, determine the equations for the vertical and horizontal asymptotes \n" ); document.write( "

Algebra.Com's Answer #76257 by Fombitz(32388) $\"\"$ $\"About$

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$\"h%28x%29=%282x%2B6%29%2F%287x%2B10%29\"$
\n" ); document.write( "If we look at the behavior of the graph as x goes to $\"infinity\"$ ,
\n" ); document.write( "you can see that h(x) goes to 2/7 because x/x becomes 1.
\n" ); document.write( "As an example, at x=10000, h(x)=20006/70010.
\n" ); document.write( "Similarly when x goes to $\"-infinity\"$ ,
\n" ); document.write( "you can see that h(x) goes to 2/7 since -x/-x becomes 1.
\n" ); document.write( "A horizontal asymptote exists at y=2/7.
\n" ); document.write( "Additionally, there is an undefined point when the denominator equals zero.
\n" ); document.write( " $\"7x%2B10=0\"$
\n" ); document.write( " $\"x=-10%2F7\"$
\n" ); document.write( "A vertical asymptote exists at x=-10/7 to mark this undefined point.
\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-10%2C+10%2C+-2%2C+2%2C+%282x%2B6%29%2F%287x%2B10%29%29+\"$ \n" ); document.write( "

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