Oblique Asymptote Calculator

How to Use the Oblique Asymptote Calculator

The Oblique Asymptote Calculator is a tool designed to help you find the equation of the oblique asymptote for a given rational function. Follow the steps below to use the calculator effectively:

Step 1: Input the Coefficients

Begin by gathering the coefficients from your quadratic polynomial and the linear denominator for the function. The oblique asymptote occurs when your polynomial is a higher degree than the denominator, typically when the numerator is a quadratic function and the denominator is linear.

• Coefficient a (in ax²): Enter the coefficient of the x² term in the numerator. Ensure this number falls within the acceptable range of -1000 to 1000.
• Coefficient b (in bx): Enter the coefficient of the x term in the numerator. This number should also be between -1000 to 1000.
• Coefficient c (constant term): Input the constant term from the numerator, ensuring it meets the same range criteria.
• Denominator Coefficient (in x): Enter the coefficient of x from the linear denominator. Like the others, this should be between -1000 to 1000.

Step 2: Calculate the Oblique Asymptote

Once you have entered all the coefficients, the calculator will automatically compute the oblique asymptote for your function. Click on the “Calculate” button to see the results.

• Oblique Asymptote Equation: This will be calculated as y = ax + (b / denominator). The equation will be displayed with an appropriate precision of two decimal places.

Step 3: Review the Results

After the calculation, the result of the oblique asymptote equation will be shown, along with additional useful information:

• Slope of Oblique Asymptote: Displayed as the coefficient a, indicating the slope of the asymptote line. This value will also be presented to two decimal places for clarity.
• Y-Intercept of Oblique Asymptote: Calculated as b / denominator, providing the y-intercept of the line. Like the other results, it will be rounded to two decimal places.

By following these steps, you can efficiently use the Oblique Asymptote Calculator to find important characteristics of the oblique asymptote for any given rational function of the specified form.