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We now build on the work of the previous two chapters to introduce functions. These are very important in scientific and engineering applications, and this chapter helps you to understand how they work.
It is split up into the following sections.
3.A Two special kinds of relationship
(a) Direct proportion,
(b) Some physical examples of direct proportion,
(c) More exotic examples,
(d) Partial direct proportion lines not through the origin,
(e) Inverse proportion,
(f) Some examples of mixed variation
3.B An introduction to functions
(a) What are functions? Some relationships examined,
(b) y = f(x) – a useful new shorthand,
(c) When is a relationship a function?
(d) Stretching and shifting new functions from old,
(e) Two ...