Common Core · High school
HSF-IF.A.2
High school — Use function notation, evaluate functions for inputs in their domains, and interpret statements that use it.
High school — Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
The 2 skills that cover it
- Function NotationRead f(x) as a machine that turns an input into exactly one output, and evaluate and interpret function notation.Read the lesson →
- Composite FunctionsFeed one function into another: evaluate (f ∘ g)(a) from rules and tables, write f(g(x)) as one expression, find the domain of a composition, and take a composite function apart again.Read the lesson →
What a student should be able to do
- Evaluate f(x) for a given input.
- Solve f(x) = k for the input that gives a required output.
- Decide whether a relation is a function.
- State the domain and range of a simple function.
- Evaluate (f ∘ g)(a) and (g ∘ f)(a) from function rules and from tables, and explain why the order matters.
- Write f(g(x)) as a single simplified expression when the outer function is not linear.
- State the domain of a composition by tracking the restrictions of both functions.
- Decompose a function into an outer and an inner function, and model a two-stage situation with a composition.