Asked by: Kishore Capraruasked in category: General Last Updated: 29th May, 2020
How do you find vertical and horizontal asymptotes?
Similarly one may ask, how do you find a horizontal asymptote?
To find horizontal asymptotes:
- If the degree (the largest exponent) of the denominator is bigger than the degree of the numerator, the horizontal asymptote is the x-axis (y = 0).
- If the degree of the numerator is bigger than the denominator, there is no horizontal asymptote.
Similarly, what is the horizontal asymptote? A horizontal asymptote is a y-value on a graph which a function approaches but does not actually reach. Here is a simple graphical example where the graphed function approaches, but never quite reaches, y=0 .
Consequently, what are the rules for horizontal asymptotes?
The three rules that horizontal asymptotes follow are based on the degree of the numerator, n, and the degree of the denominator, m.
- If n < m, the horizontal asymptote is y = 0.
- If n = m, the horizontal asymptote is y = a/b.
- If n > m, there is no horizontal asymptote.
What does vertical and horizontal asymptotes mean?
Horizontal asymptotes are horizontal lines that the graph of the function approaches as x tends to +∞ or −∞. As the name indicates they are parallel to the x-axis. Vertical asymptotes are vertical lines (perpendicular to the x-axis) near which the function grows without bound.