Question 104794
{{{h(x)=(2x+6)/(7x+10)}}}
If we look at the behavior of the graph as x goes to {{{infinity}}}, 
you can see that h(x) goes to 2/7 because x/x becomes 1. 
As an example, at x=10000, h(x)=20006/70010.
Similarly when x goes to {{{-infinity}}}, 
you can see that h(x) goes to 2/7 since -x/-x becomes 1. 
A horizontal asymptote exists at y=2/7. 
Additionally, there is an undefined point when the denominator equals zero. 
{{{7x+10=0}}}
{{{x=-10/7}}}
A vertical asymptote exists at x=-10/7 to mark this undefined point. 
{{{ graph( 300, 200, -10, 10, -2, 2, (2x+6)/(7x+10)) }}}