IB DP Maths: AA HL复习笔记2.9.1 Modulus Functions
What is the modulus function? At the vertex The function is continuous The function is not differentiable 转载自savemyexams
What is the modulus function? At the vertex The function is continuous The function is not differentiable 转载自savemyexams
How do I solve polynomial inequalities? STEP 1: Rearrange the inequality so that one of the sides is equal to zero For example: P(x) ≤ 0 STEP 2: Find the roots of the polynomial You can do this by ...
How can I solve inequalities graphically? Consider the inequality f(x) ≤ g(x), where f(x) and g(x) are functions of x if we move g(x) to the LHS we get f(x) – g(x) ≤ 0 Solve f(x) – g(x) = 0 to find...
How do I find the sum & product of roots of polynomials? an is the coefficient of the leading term an-1 is the coefficient of the xn-1 term Be careful: this could be equal to zero a0 is the c...
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...
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