How to Graph Rational Functions-- Step-by-Step! | Math with Caroline

Need help with graphing rational functions? You found the right video! Whether you're in middle school, high school, college, or just brushing up on your algebra skills, this video will guide you step-by-step and will clearly explain the process! Learn how to graph rational functions. Includes and explains how to find the y-intercept, x-intercept, vertical asymptote, horizontal asymptote, hole, 3 other points, domain, and range. Includes common factors. Explains how to find the domain of rational functions. Explains restrictions on domain. Explains how to find the x-value and y-value of the hole. Explains how the restrictions on domain relate to the vertical asymptote and hole. Explains the equations for the vertical and horizontal asymptotes. Explains the 3 rules for horizontal asymptotes: when the degree of the numerator is bigger, when the degree of the denominator is bigger, and when the degrees of the numerator and denominator are the same. Explains "BOBO" and "BOTN". Explains how the horizontal asymptote shows end behavior. Learn helpful tips and shortcuts. Taking notes while watching will help you retain the information. I ask you to work the problems along with me so take notes while you watch! About Math with Caroline This channel provides free helpful tutorial videos on Pre-Algebra, Algebra 1, Algebra 2, Geometry, Pre-Calculus, Trigonometry, College Algebra and Statistics skills and concepts. New videos are uploaded every week. These videos are perfect for students, parents helping with homework, teachers, and anyone preparing for tests like the SAT and ACT. I have a Master’s degree in Education in Secondary Math and taught high school math classes for 14 years. I tutor students in all math subjects including math ACT prep. My experience helps make these videos easy to understand and helps students avoid common mistakes. I love helping people understand math! #MathwithCaroline #mathvideos #mathhelp