Features of Functions Card Sort

Last updated over 3 years ago
4 questions
You are provided with a set of cards, each with a different function, represented in a different way (equation, graph, or table). For each question order the cards from least to greatest. If the feature is equal to two or more functions, place them next to each other and record your solution in the activity below.
1

Sort the functions from lowest y-intercept to highest (lowest at top, highest at bottom)

  1. C
  2. F
  3. B
  4. H
  5. G
  6. E
1

Sort the functions by their average rate of change on the interval [0,4] (lowest at top, highest at bottom)

  1. C
  2. H
  3. D
  4. B
  5. F
  6. G
1

Sort the functions by their maximum value on the interval 2 ≤ x ≤ 6 (lowest at top, highest at bottom)

  1. B
  2. C
  3. E
  4. H
  5. F
  6. G
  7. D
1

Place the functions in the categories to which they belong

  • A
  • B
  • C
  • D
  • E
  • F
  • G
  • H
  • Functions that have a constant rate of change
  • Functions that are always increasing