Common Core Math
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Learning Goal

Part of: Interpret functions that arise in applications in terms of the context — 2 of 3 cluster items

Relate domain to graph and context

HSF.IF.B.5

**HSF.IF.B.5**: Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. *For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.*

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HSF.IF.B.5: Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.

What you'll learn

  1. Determine the natural (algebraic) domain of a function by identifying values that cause division by zero or negative radicands
  2. Determine the contextual domain of a function by analyzing what input values make sense in a real-world situation
  3. Read the domain of a function from its graph using the vertical scan technique, including handling open/closed endpoints, holes, and asymptotes
  4. Distinguish between discrete and continuous domains and graph each appropriately (isolated dots vs. connected curves)
  5. Reconcile algebraic, graphical, and contextual perspectives on domain, recognizing that contextual domain takes priority in modeling
  6. Write domains using interval notation, set-builder notation, and set-roster notation as appropriate

Slides

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Slides

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