IB DP Maths: AA HL复习笔记2.3.4 Graphing Functions
How do I graph the function y = f(x)? The horizontal axis is used for the domain The vertical axis is used for the range You will be able to graph some functions by hand For some functions you will...
How do I graph the function y = f(x)? The horizontal axis is used for the domain The vertical axis is used for the range You will be able to graph some functions by hand For some functions you will...
What are odd functions? What are even functions? What are the symmetries of graphs of odd & even functions? The graph of an odd function has rotational symmetry The graph is unchanged by a 180°...
What is a composite function? How do I find the domain and range of a composite function? Exam Tip Worked Example Inverse Functions What is an inverse function? What are the connections between a f...
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 unique output No two inputs...
What is the discriminant of a quadratic function? The discriminant of a quadratic is denoted by the Greek letter Δ (upper case delta) For the quadratic function the discriminant is given by This is...
What affects the inequality sign when rearranging a quadratic inequality? The inequality sign is unchanged by... Adding/subtracting a term to both sides Multiplying/dividing both sides by a positiv...
Solving Quadratics Equations How do I decide the best method to solve a quadratic equation? If it is a calculator paper then use your GDC to solve the quadratic If it is a non-calculator paper then...
Why is factorising quadratics useful? Factorising gives roots (zeroes or solutions) of a quadratic It gives the x-intercepts when drawing the graph How do I factorise a monic quadratic of the form ...
Quadratic Functions & Graphs What are the key features of quadratic graphs? The value of a affects the shape of the curve If a is positive the shape is concave up ∪ If a is negative the shape i...
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