The student will investigate, analyze, and compare characteristics of functions, including quadratic, and exponential functions, and model quadratic and exponential relationships.

A.F.2.aDetermine whether a relation, represented by a set of ordered pairs, a table, a mapping, or a graph is a function; for relations that are functions, determine the domain and range.A.F.2.bGiven an equation or graph, determine key characteristics of a quadratic function including 𝑥-intercepts (zeros), 𝑦-intercept, vertex (maximum or minimum), and domain and range (including when restricted by context); interpret key characteristics as related to contextual situations, where applicable.A.F.2.cGraph a quadratic function, 𝑓(𝑥), in two variables using a variety of strategies, including transformations 𝑓(𝑥) + 𝑘 and 𝑘𝑓(𝑥), where 𝑘 is limited to rational values.A.F.2.dMake connections between the algebraic (standard and factored forms) and graphical representation of a quadratic function.A.F.2.eGiven an equation or graph of an exponential function in the form 𝑦 = 𝑎𝑏ˣ (where 𝑏 is limited to a natural number), interpret key characteristics, including 𝑦-intercepts and domain and range; interpret key characteristics as related to contextual situations, where applicable.A.F.2.fGraph an exponential function, 𝑓(𝑥), in two variables using a variety of strategies, including transformations 𝑓(𝑥) + 𝑘 and 𝑘𝑓(𝑥), where 𝑘 is limited to rational values.A.F.2.gFor any value, 𝑥, in the domain of 𝑓, determine 𝑓(𝑥) of a quadratic or exponential function. Determine 𝑥 given any value 𝑓(𝑥) in the range of 𝑓 of a quadratic function. Explain the meaning of 𝑥 and 𝑓(𝑥) in context.A.F.2.hCompare and contrast the key characteristics of linear functions (𝑓(𝑥) = 𝑥), quadratic functions (𝑓(𝑥) = 𝑥²), and exponential functions (𝑓(𝑥) = 𝑏ˣ) using tables and graphs.
Goblins

1-on-1 AI tutoring aligned to A.F.2. Instant help for students, real-time insights for teachers.

Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.

Free for teachers, forever →