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Mathematics · Grade 9

Functions and Their Representations

Learners define a function as a rule that gives each input exactly one output and test relations in mappings, tables, graphs and equations. They use function notation to evaluate and interpret statements like h(2) = 30, describe domain, range and key features of graphs, and compare functions given in different representations, including arithmetic sequences seen as linear functions.

  • 4 lessons
  • About 115 minutes
  • Functions check: 11 questions
  • Ways to answer: fill in the blanks, choose an answer, match pairs, type a number, place on a number line and sort into groups
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What learners will discover

  • Decide whether a relation given as a mapping, table, graph, equation or description is a function, and explain why.
  • Use function notation to evaluate functions and to interpret statements such as f(a) = b in context; solve f(x) = c from a rule, table or graph.
  • Identify domain and range (including discrete versus continuous and limits set by a context) and key features: intercepts, increasing and decreasing intervals, maximum and minimum.
  • Compare functions represented in different ways and describe arithmetic sequences as linear functions on the positive integers.

Lessons

  1. What makes a function 7 steps4 practiceabout 26 min
  2. Function notation and interpretation 7 steps5 practiceabout 28 min
  3. Domain, range and key features 7 steps5 practiceabout 30 min
  4. Comparing representations and sequences 8 steps4 practiceabout 28 min
  5. Functions check 11 questions at the end

Keep exploring

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Guide for grown-ups