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Exam Strategy

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Readiness Check

You are ready when you can (1) name the best function type from a short clue set, (2) justify with CED language (ROC, differences, geometry, piecewise), and (3) list at least one assumption and one domain/range restriction.

Prep Sequence

1. Drill clue → type flashcards. 2. Three finite-difference table reads. 3. Two piecewise vs single-rule decisions. 4. Write assumption templates until automatic. 5. Timed: select + articulate in 4 minutes (no construction).

On the Exam

  • Underline clues: constant ROC, unique max, volume, switch point, number of points.
  • Choose type before parameters.
  • Write: “Assumption: … / Domain: … / Range: …” even if brief.
  • For piecewise, name the split value and that intervals do not overlap.

Common Traps

  • Picking quadratic only because there is a “curve” with no unique-extremum or 2nd-difference support.
  • Using degree 4 for 4 points (degree ≤ 3 for 4 points).
  • Forgetting contextual domain ($t\ge 0$).
  • Treating overlapping pieces as valid piecewise.

Quick Checklist

  • [ ] Function type named with CED clue
  • [ ] Piecewise only if regimes differ on nonoverlapping intervals
  • [ ] Assumption about consistency or covariation stated
  • [ ] Domain restriction stated
  • [ ] Range restriction stated when rounding/context needs it

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