IB DP Maths: AI SL复习笔记2.3.5 Sinusoidal Models
Sinusoidal Models What are the parameters of a sinusoidal model? A sinusoidal model is of the form The a represents the amplitude of the function The bigger the value of a the bigger the range of v...
Sinusoidal Models What are the parameters of a sinusoidal model? A sinusoidal model is of the form The a represents the amplitude of the function The bigger the value of a the bigger the range of v...
Direct Variation What is direct variation? The graphs of these models always start at the origin How do I solve direct variation problems? Worked Example b)Find the time it takes to order a list of...
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...
Quadratic Models What are the parameters of a quadratic model? This is given in the formula booklet as the axis of symmetry What can be modelled as a quadratic model? These can be used if the graph...
Linear Models What are the parameters of a linear model? The m represents the rate of change of the function This is the amount the function increases/decreases when x increases by 1 If the functio...
Quadratic Functions & Graphs What are the key features of quadratic graphs? If a is positive then the vertex is the minimum point If a is negative then the vertex is the maximum point Exam Tip ...
Graphing Functions How do I graph the function y = f(x)? What is the difference between “draw” and “sketch”? If asked to sketch you should: Show the general shape Label any key points such as the i...
Language of Functions 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 uniqu...
Equations of a Straight Line How do I find the gradient of a straight line? Find two points that the line passes through with coordinates (x1, y1) and (x2, y2) The gradient between these two points...
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