Reference

How the study works

The app follows the same ten steps you would write out by hand. Each one below explains what is being looked for and how it is worked out, with links to read further.

← Back to studying a function

  1. 01 The function Did we read what you meant?
  2. 02 Existence conditions and domain For which x does the function exist at all?
  3. 03 Symmetry and periodicity Does the curve repeat itself?
  4. 04 Intercepts Where does the curve cross the axes?
  5. 05 Sign of f(x) Which side of the x-axis is the curve on?
  6. 06 Limits at the edges of the domain What happens as x approaches a boundary?
  7. 07 Asymptotes Which straight lines does the curve hug?
  8. 08 First derivative: where it rises and falls Where does the curve turn?
  9. 09 Second derivative: concavity Which way does the curve bend?
  10. 10 The graph What does it all look like?
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