Learn how to determine the end behavior of a rational function, and see examples that walk through sample problems step-by-step for you to improve your math knowledge and skills.

Dec 27, 2021 · What is the end behavior of rational functions and how is it determined? The following step-by-step guide helps you learn how to find the end behavior of rational functions.

The process of judging whether the function touches or crosses its asymptotes involves solving the system of equation that consists of the equation of the end behaviour and the rational …

Students practice dividing polynomials and substituting values into a term that drops out as x . Review answers on the overhead. End behavior: what the function does as x gets really big or …

Given a rational function, determine how it behaves as x approaches +∞ or -∞.

May 16, 2025 · In this article, we explore how to determine the end behavior of rational functions by analyzing asymptotes and applying limit concepts.

Use arrow notation to describe local and end behavior of rational functions. Identify horizontal and vertical asymptotes of rational functions from graphs. Graph a rational function given …

May 5, 2025 · End behavior describes what happens to the graph of a function as x x approaches either positive or negative infinity. In simple terms, it shows the trend of the function’s graph at …

Suppose f (x) = 4 x 3 2 x 2 9 x + 3 7 x 5 5 x 9 x + 1 and we want to find its end behavior. Our first step is to isolate the leading term of top and bottom of the fraction and then simplify it:

The question we would like to investigate is which rational functions have horizontal asymptotes, and if a rational function does have a horizontal asymptote, how do we determine it’s value?