HUNTERTUTORING

Study Guide — Function families and transformations

View PDF →

Pre-calculus

Study guide for Function families and transformations at standard high school depth.

What this standard means

  • Analyze domain, range, and symmetry of functions
  • Apply shifts, stretches, and reflections
  • Compose and find inverse functions
  • Compare rates of change across function families

_See printable PDF for diagram._

How to use the 20 practice sets

| Sets | When to use | | --- | --- | | 1–5 | Intro — explore together, short written items | | 6–10 | Core skills — diagrams and written practice | | 11–15 | Mixed review — explain thinking | | 16–20 | Stretch — word problems and mastery tasks |

Pacing: 10–15 minutes per session.

How to practice

1. Sketch graphs from key points 2. Use function notation consistently 3. Identify intercepts, maxima, and intervals

_See printable PDF for diagram._

Common mistakes

  • Confusing x and y in notation
  • Misreading graph scales

Review and practice tests

1. Start Review 1/10 when sets 1–3 feel comfortable. 2. Move up one review level with little help. 3. Use Practice Test 4/10–6/10 for mid-standard checks. 4. Practice Test 10/10 is the mastery bar for Function families and transformations.

  • [ ] Evaluates functions in notation
  • [ ] Identifies domain, range, and key features
  • [ ] Interprets graphs in context

Materials for this standard

  • Practice Problems — 20 printable sets
  • Review — 10 difficulty levels
  • Practice Test — 10 difficulty levels
  • Answer key — for parents and tutors

For your personal study only. Copying, printing, screenshotting, or sharing this material is not permitted and may result in loss of access.

Back to unit