Posted by Dave on .
How do you find the vertical and horizontal assymptotes of the graph of the rational function?
Math:use parentheses -
Vertical asymptotes in rational functions usually come from the denominator approaching zero.
the denominator can be factorized as:
at x=1/3 or x=1/2, the denominator becomes zero, and hence a vertical asymptote. You also need to check if the numerator vanishes at the same points, in which case the point will be undefined.
To find the horizontal asymptotes, do a long division, and the resulting leading constant (1/2) is the horizontal asymptote. Take care to determine from which side of y=1/2 the curve approaches the asymptote as x approaches ±∞.