Roger Porkess's A2 Pure Mathematics (C3 and C4) PDF

By Roger Porkess

ISBN-10: 0340888512

ISBN-13: 9780340888513

ISBN-10: 1444142755

ISBN-13: 9781444142754

The highly-acclaimed MEI sequence of textual content books, assisting OCR's MEI based arithmetic specification, has been up-to-date to check the necessities of the recent requirements, for first educating in 2004.

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Additional info for A2 Pure Mathematics (C3 and C4)

Example text

In this example, each of the names on the left is an object, or input, and each of the reasons on the right is an image, or output. For a mapping to make sense or to have any practical application, the inputs and outputs must each form a natural collection or set. The set of possible inputs (in this case, all of the people who flew to Geneva from London in January) is called the domain of the mapping. The set of possible outputs (in this case, the set of all possible reasons for flying to Geneva) is called the co-domain of the mapping.

For a mapping to make sense or to have any practical application, the inputs and outputs must each form a natural collection or set. The set of possible inputs (in this case, all of the people who flew to Geneva from London in January) is called the domain of the mapping. The set of possible outputs (in this case, the set of all possible reasons for flying to Geneva) is called the co-domain of the mapping. The seven people questioned in this example gave a set of four reasons, or outputs. These form the range of the mapping for this particular set of inputs.

39 Functions C3 3 (i) (ii) (iii) (iv) Temperature measured in Celsius → temperature measured in Fahrenheit. Marks in an examination → grade awarded. Distance measured in light years → distance measured in metres. Number of stops travelled on the London Underground → fare. You can decide whether an algebraic mapping is a function, and whether it has an inverse function, by looking at its graph. The curve or line representing a one-toone mapping does not double back on itself, has no turning points and covers the full domain and co-domain.

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A2 Pure Mathematics (C3 and C4) by Roger Porkess


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