# How do you determine the vertical and horizontal asymptotes of the graph of each function # h(x) = (x+6)/(x^2 - 36)#?

##### 1 Answer

Jun 6, 2015

Vertical asymptotes occur at the points where the function tends to infinity (positive or negative). In case of this function these are points where the denominator equals to zero, that is

Horizontal asymptotes exist if the function tends to some constant as its argument tends to infinity (positive or negative). In this case, when