What is a mathematical model? A mathematical model simplifies a real-world situation so it can be described using mathematics The model can then be used to make predictions Assumptions about the si...
How can I solve equations analytically where the unknown appears only once? These equations can be solved by rearranging For one-to-one functions you can just apply the inverse Addition and subtrac...
What is an exponential function? What are the key features of exponential graphs? The graphs have a y-intercept at (0, 1) The graphs do not have any roots For a > 1 this is the limiting value wh...
How do I graph the function y = f(x)? The horizontal axis is used for the domain The vertical axis is used for the range You will be able to graph some functions by hand For some functions you will...
What are odd functions? What are even functions? What are the symmetries of graphs of odd & even functions? The graph of an odd function has rotational symmetry The graph is unchanged by a 180°...
What is a composite function? How do I find the domain and range of a composite function? Exam Tip Worked Example Inverse Functions What is an inverse function? What are the connections between a f...
What is a mapping? A mapping transforms one set of values (inputs) into another set of values (outputs) Mappings can be: One-to-one Each input gets mapped to exactly one unique output No two inputs...
What is the discriminant of a quadratic function? The discriminant of a quadratic is denoted by the Greek letter Δ (upper case delta) For the quadratic function the discriminant is given by This is...
What affects the inequality sign when rearranging a quadratic inequality? The inequality sign is unchanged by... Adding/subtracting a term to both sides Multiplying/dividing both sides by a positiv...
