Worked examples

Real functions and economic models

One sheet for each type of problem, with several worked examples of increasing difficulty: first the computation, then the explanation in words. Each sheet starts with links to the theory it uses.

• 1Natural domains of functions
• 2Range, monotonicity and injectivity
• 3Inverse functions and composite functions
• 4Lines and linear functions
• 5Exponential and logarithmic equations and inequalities
• 6Maximum and minimum problems with quadratic functions
• 7Market equilibrium problems
• 8Break-even point and average cost