Functions

1.2

What the syllabus asks of you

understand the terms function, domain, range, one-one function, inverse function and composition of functions
identify the range of a given function in simple cases, and find the composition of two given functions
determine whether or not a given function is one-one, and find the inverse of a one-one function in simple cases
illustrate in graphical terms the relation between a one-one function and its inverse
understand and use the transformations of the graph of y = f(x) given by y = f(x) + a, y = f(x + a), y = af(x), y = f(ax) and simple combinations of these.

Read the notes first

Chapter 2: Functions

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Drill this topic

All 77 questions on Functions, untimed — answer on paper, then mark yourself against the mark scheme.

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Make a worksheet

Choose the years and how many questions, then print it with the answers on separate pages.

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77 questions

These are structured questions, answered in working rather than by picking an option, so they are not listed here one by one. The drill above puts each in front of you with its mark scheme to check against.