Course review
Review each learning objective in this topic, then open its concept explanation or question set.
Learning objective
• Work with polynomial graphs, equations, zeros, roots and factors. • Use factor and remainder theorems. • Use sum/product of roots of polynomial equations.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• Graph rational functions with quadratic numerator or denominator forms. • Include horizontal, vertical and oblique asymptotes plus intercepts.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• 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.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• Solve g(x) >= f(x) graphically and analytically. • Use simple polynomial methods up to degree 3 and technology for wider cases.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• 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.
Start with the concept explanation, then practise to create mastery evidence.