IB DP Maths: AI HL復習筆記2.3.5 Sinusoidal Models
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...
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...
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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