What you’ll learn5 learning objectivesChoose one objective for a focused lesson, or study the complete topic.—AHL 2.12 (HL)—Polynomial functions• Work with polynomial graphs, equations, zeros, roots and factors.• Use factor and remainder theorems.• Use sum/product of roots of polynomial equations.Syllabus objective—AHL 2.13 (HL)—Further rational functions• Graph rational functions with quadratic numerator or denominator forms.• Include horizontal, vertical and oblique asymptotes plus intercepts.Syllabus objective—AHL 2.14 (HL)—Odd/even and inverse functions• Use even f(-x)=f(x) and odd f(-x)=-f(x) definitions, including periodic functions.• Find inverse functions, using domain restrictions where needed.• Recognize self-inverse functions.Syllabus objective—AHL 2.15 (HL)—Inequalities between functions• Solve g(x) >= f(x) graphically and analytically.• Use simple polynomial methods up to degree 3 and technology for wider cases.Syllabus objective—AHL 2.16 (HL)—Further graph transformations• Graph y=|f(x)|, y=f(|x|), y=1/f(x), y=f(ax+b) and y=[f(x)]^2.• Solve modulus equations and inequalities.Syllabus objective