Course review
Review each learning objective in this topic, then open its concept explanation or question set.
Learning objective
• Use composite functions in context: (f o g)(x)=f(g(x)). • Find inverse functions, including necessary domain restrictions.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• Apply translations, reflections, vertical/horizontal stretches and composite transformations. • Perform transformations on SL/AHL model functions and real-context functions. • Understand order of transformations.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• Model with half-life exponential, natural logarithmic, sinusoidal, logistic and piecewise functions. • For sinusoidal models, use radians unless degrees are specified; phase shift is horizontal translation. • Logistic models use carrying capacity L; piecewise models may require continuity of parameters.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• Scale very large/small numbers using logarithms. • Linearize data with logarithms to test exponential or power relationships. • Interpret log-log and semi-log graphs; drawing/sketching them is not required in exams.
Start with the concept explanation, then practise to create mastery evidence.