Question 255545
division by zero is "Verbotten!", so when a term in the denominator (bottom) of the fraction is zero -- things happen


when x=-4, the x+4 term is zero ___ this results in a vertical asymptote at x=-4
___ since the sign of the denominator changes as x passes through -4, the direction of the asymptote also changes
___ it is upward (positive) below -4 and downward (negative) above -4



when x=2, the x-2 terms are zero ___ since there are terms in both the numerator AND denominator
___ this results in a "hole" in the graph at x=2