Natural Logarithmic Models What are the parameters of natural logarithmic models? The a represents the value of the function when x = 1 The b determines the rate of change of the function A bigger ...
Logarithmic Functions & Graphs What are the key features of logarithmic graphs? This can be found using your GDC The graphs do not have any minimum or maximum points The value of b determines w...
Composite Transformations of Graphs What transformations do I need to know? How do horizontal and vertical transformations affect each other? Horizontal and vertical transformations are independent...
Stretches of Graphs What are stretches of graphs? When you alter a function in certain ways, the effects on the graph of the function can be described by geometrical transformations For a stretch: ...
Reflections of Graphs What are reflections of graphs? When you alter a function in certain ways, the effects on the graph of the function can be described by geometrical transformations For a refle...
Translations of Graphs What are translations of graphs? When you alter a function in certain ways, the effects on the graph of the function can be described by geometrical transformations For a tra...
Composite Functions 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 con...
Modelling with Functions 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...
Sinusoidal Models What are the parameters of a sinusoidal model? The c represents the phase shift This is a horizontal translation by c units The d represents the principal axis This is the line th...
