Slant Asymptote Calculator
Easily calculate the slant asymptote of a rational function online. Input your function and get a step-by-step solution and interactive graph.
Format as numerator/denominator, e.g., <code class="text-pink-500">(x^2-1)/(x-2)</code>
Slant Asymptote:
Function Visualization
What is a Slant Asymptote?
A slant asymptote, also known as an oblique asymptote, occurs in rational functions when the degree of the numerator is exactly one greater than the degree of the denominator. It's a straight line that the graph of the function approaches as x tends to +∞ or -∞. To find it, you perform polynomial long division or synthetic division of the numerator by the denominator. The quotient (ignoring the remainder) gives the equation of the slant asymptote in the form y = mx + b. This tool helps you quickly calculate and visualize this asymptote, making it easier to understand the behavior of rational functions.
- Rational Function: A function that can be expressed as the quotient of two polynomials.
- Polynomial Division: The process used to divide polynomials, essential for finding slant asymptotes.
- Degree of Polynomial: The highest power of the variable in a polynomial.