IB DP Maths: AA HL复习笔记2.3.3 Symmetry of Functions
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 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...
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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