Year 11 · General Mathematics

Linear and exponential functions and their graphs

Choose a subtopic, explore its examples and practise with feedback.

Choose a subtopic.

Explore linear and exponential functions and their graphs for Year 11. Each subtopic has sample questions and worked answers; choose the skill you want to practise.

Linear functions and graphs

Constant additive change; Context, table, graph and formula representations; Slope/intercepts in context; Substitution, rearranging/solving linear equations and translating representations

Examples, answers and practice

Exponential functions and graphs

Constant multiplicative change versus linear change; Non-integer powers; Context, table, graph and formula; Growth/decay factor and percentage rate; Compound interest, population, inflation, depreciation and cooling contexts

Examples, answers and practice

Make, test and investigate.

Build and test a contextual model

Enter observed pairs, choose a linear or exponential model, state its units and domain, test predictions and revise your assumptions.

Guided activity · No grade