Range Of A Rational Function | Furthermaths P1 | Unit 2

In this video, we learn how to find the range of rational functions using the discriminant method. Which y-values can the graph actually reach? In this video, we learn how to find the range of rational functions using the discriminant method. We’ll take the same idea used for finding turning points and apply it to a new question: Which y-values can the graph actually reach? In this video: What the range means The 3-step discriminant method Using b² − 4ac ≥ 0 Finding critical values Solving quadratic inequalities The difference between an achievable range and an unachievable gap Two worked examples involving rational functions #FurtherMaths #ALevelMaths #Cambridge9231 #FP1 #RationalFunctions #Functiona #EdexcelFurtherMaths #EdexcelMaths #Discriminant #TurningPoints #CurveSketching #ALevel #Mathematics #PureMathematics #MathsTutorial #Roots #Function