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...
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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...
Direct Variation What is direct variation? Two variables are said to?vary directly?if their?ratio is constant?(k) This is also called?direct proportion The graphs of these models always?start at th...
Exponential Models What are the parameters of an exponential model? An?exponential model?is of the form Where e is the mathematical constant 2.718… The?c?represents the?boundary?for the function It...
