Lesson Plan

Determine the natural (algebraic) domain of a function by identifying values that cause division by zero or negative radicands

Determine the contextual domain of a function by analyzing what input values make sense in a real-world situation

Read the domain of a function from its graph using the vertical scan technique, including handling open/closed endpoints, holes, and asymptotes

Distinguish between discrete and continuous domains and graph each appropriately (isolated dots vs. connected curves)

Reconcile algebraic, graphical, and contextual perspectives on domain, recognizing that contextual domain takes priority in modeling

Write domains using interval notation, set-builder notation, and set-roster notation as appropriate

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.