IB DP Maths: AI SL复习笔记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...
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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...
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...
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...
Amortisation What is amortisation? Amortisation is the process of repaying a loan over a fixed period of time Most commonly questions will be about mortgages (loans taken out to buy a home) or loan...
Compound Interest What is compound interest? Interest is a small percentage paid by a bank or company that is added on to an initial investment Interest can also refer to an amount paid on a loan o...
Many real-life situations can be modelled using sequences and series, including but not limited to: patterns made when tiling floors; seating people around a table; the rate of change of a populati...
Geometric Sequences What is a geometric sequence? In a geometric sequence, there is a common ratio, r, between consecutive terms in the sequence For example, 2, 6, 18, 54, 162, … is a sequence with...
Arithmetic Sequences What is an arithmetic sequence? In an arithmetic sequence, the difference between consecutive terms in the sequence is constant This constant difference is known as the common ...
Language of Sequences & Series What is a sequence? A sequence is an ordered set of numbers with a rule for finding all of the numbers in the sequence For example 1, 3, 5, 7, 9, … is a sequence ...
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