https://www.khanacademy.org/math/math3/x5549cc1686316ba5:rationals/x5549cc1686316ba5:rational-discontinuities/v/analyzing-vertical-asymptotes-of-rational-functions 2022-10-07T01:44:59.407126867Z Analyzing vertical asymptotes of rational functions Sal analyzes the behavior of q(x)=(x²+3x+2)/(x+3) around its vertical asymptote at x=-3. video https://cdn.kastatic.org/ka_thumbnails_cache/d8c5f458-fedd-4cb1-8809-753f0cbe7015_1280_720_base.png Analyzing vertical asymptotes of rational functions Sal analyzes the behavior of q(x)=(x²+3x+2)/(x+3) around its vertical asymptote at x=-3. https://cdn.kastatic.org/ka-youtube-converted/X8B4Fi7wadc.mp4/X8B4Fi7wadc.mp4 426 Rational functions and vertical asymptotes https://www.khanacademy.org/math/math3/x5549cc1686316ba5:rationals/x5549cc1686316ba5:rational-discontinuities/e/analyze-vertical-asymptotes-of-rational-functions 2021-06-29T20:27:53Z Analyze vertical asymptotes of rational functions Given the formula of a rational function, determine how it behaves around its vertical asymptote. Sulinya Ramanan exercise https://www.khanacademy.org/math/ap-precalculus/xe322600f784e4778:polynomial-and-rational-functions/xe322600f784e4778:rational-functions-and-vertical-asymptotes/v/solving-rational-inequalities-from-a-graph 2025-08-28T00:00:48.862639845Z Solving rational inequalities from a graph Identify when an inequality is true for a rational function when provided its graph. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/108da635-48fc-447b-a74e-964b74880068_1280_720_base.png Solving rational inequalities from a graph Identify when an inequality is true for a rational function when provided its graph. https://cdn.kastatic.org/ka-youtube-converted/04lcQT1QfA0.mp4/04lcQT1QfA0.mp4 117 Rational functions and vertical asymptotes https://www.khanacademy.org/math/ap-precalculus/xe322600f784e4778:polynomial-and-rational-functions/xe322600f784e4778:rational-functions-and-vertical-asymptotes/v/solving-rational-inequalities-by-testing-intervals 2025-08-28T00:00:48.862639845Z Solving rational inequalities by testing intervals in terms of a constant Learn how to solve rational inequalities when the inequality is in the form of a rational expression on one side and a constant on the other. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/31c2e70b-1fe6-4a2e-9ec0-1b9289aaa527_1280_720_base.png Solving rational inequalities by testing intervals in terms of a constant Learn how to solve rational inequalities when the inequality is in the form of a rational expression on one side and a constant on the other. https://cdn.kastatic.org/ka-youtube-converted/JfXMsEi2S-s.mp4/JfXMsEi2S-s.mp4 617 Rational functions and vertical asymptotes https://www.khanacademy.org/math/ap-precalculus/xe322600f784e4778:polynomial-and-rational-functions/xe322600f784e4778:rational-functions-and-vertical-asymptotes/e/solve-rational-inequalities-using-graphs-and-tables 2026-06-16T15:55:43.561813682Z Solve rational inequalities using graphs and tables Solving rational inequalities by identifying where the inequality is true in a provided graph or using a table to test. Courtney Chernin-Hitchings exercise