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Graphs of functions

2.10

What the syllabus asks of you

  • Construct tables of values, and draw, recognise and interpret graphs for functions of the following forms: axn (includes sums of no more than three of these); abx + c where n = –2, –1, −, 0, 2 1 , 1, 2, 3; a and c are rational numbers; and b is a positive integer.
  • Solve associated equations graphically, including finding and interpreting roots by graphical methods.
  • Draw and interpret graphs representing exponential growth and decay problems.
  • Estimate gradients of curves by drawing tangents.

Read the notes first

Chapter 2: Graphs of functions

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Drill this topic

All 31 questions on Graphs of 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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31 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.