OGM.12.FNC
Open Global Math Standards 2026™ · 11th Grade
Functions, Transformations, Sequences, and Series
Grade11th Grade
SubjectMath
Levelstrand
Child standards (5)
- OGM.12.FNC.1Understand the formal definition of a function as a mapping between domain and range; evaluate functions, determine appropriate domains from algebraic and applied contexts, and interpret function notation.
- OGM.12.FNC.2Analyze, graph, and interpret key features of functions (linear, quadratic, polynomial, rational, root, piecewise, step, modulus) including intercepts, extrema, intervals of increase/decrease, symmetry (even/odd), end behavior, and asymptotes.
- OGM.12.FNC.3Combine functions using arithmetic operations and composition; find inverse functions algebraically and graphically, verify inverses via composition f(g(x)) = x, and construct invertible functions by domain restriction.
- OGM.12.FNC.4Apply single and combined geometric transformations to function graphs y = f(x), including vertical/horizontal translations f(x) + a, f(x + a), stretches/compressions af(x), f(ax), and reflections -f(x), f(-x).
- OGM.12.FNC.5Analyze arithmetic and geometric sequences and series defined recursively and explicitly; compute the nth term, partial sums using sigma notation (Σ), and the sum to infinity for convergent geometric series (|r| < 1).