IB DP Maths: AA HL复习笔记2.7.3 Polynomial Functions
In exams you’ll commonly be asked to sketch the graphs of different polynomial functions with and without the use of your GDC. What’s the relationship between a polynomial’s degree and its zeros? I...
In exams you’ll commonly be asked to sketch the graphs of different polynomial functions with and without the use of your GDC. What’s the relationship between a polynomial’s degree and its zeros? I...
What is polynomial division? Polynomial division is the process of dividing two polynomials This is usually only useful when the degree of the denominator is less than or equal to the degree of the...
What is the factor theorem? The factor theorem is used to find the linear factors of polynomial equations This topic is closely tied to finding the zeros and roots of a polynomial function/equation...
What transformations do I need to know? How do horizontal and vertical transformations affect each other? Horizontal and vertical transformations are independent of each other The horizontal transf...
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: the graph is stretch...
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 reflection: the graph is fl...
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 translation: the graph is ...
What is the reciprocal function? What are the key features of the reciprocal graph? The graph does not have a y-intercept The graph does not have any roots The graph has two asymptotes The graph do...
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 Assumptions about the si...
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