IB DP Maths: AI HL復習筆記2.3.3 Exponential Models
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...
IB DP Maths: AI HL復習筆記2.3.2 Quadratic & Cubic Models
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...
IB DP Maths: AI HL復習筆記2.3.1 Linear Models
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...
IB DP Maths: AI HL復習筆記2.2.3 Properties of Graphs
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 ...
IB DP Maths: AI HL復習筆記2.2.2 Graphing Functions
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...
IB DP Maths: AI HL復習筆記2.2.1 Functions
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...
IB DP Maths: AI HL復習筆記2.1.1 Equations of a Straight Line
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...
IB DP Maths: AI HL復習筆記1.8.2 Applications of Matrices
Diagonalisation What is matrix diagonalisation? A?non-zero,?square?matrix is considered to be?diagonal?if all elements?not?along its leading diagonal?are?zero You will only need to consider matrice...
IB DP Maths: AI HL復習筆記1.8.1 Eigenvalues & Eigenvectors
Characteristic Polynomials Eigenvalues?and?eigenvectors?are properties of square matrices and are used in a lot of real-life applications including geometrical transformations and probability scena...
