Question 104794: Given the function: h(x)= 2x+6 over (divided by) 7x +10, determine the equations for the vertical and horizontal asymptotes Answer by Fombitz(32388) (Show Source):
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If we look at the behavior of the graph as x goes to ,
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 ,
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.
A vertical asymptote exists at x=-10/7 to mark this undefined point.
