Properties & Attributes of Functions - Reporting Category 2

Foundations for functions. The student uses the properties and attributes of functions. The student understands how algebra can be used to express generalizations and recognizes and uses the power of symbols to represent situations. The student understands the importance of the skills required to manipulate symbols in order to solve problems and uses the necessary algebraic skills required to simplify algebraic expressions and solve equations and inequalities in problem situations.

 

(A.2) Foundations for functions. The student uses the properties and attributes of functions. The student is expected to


(A) identify and sketch the general forms of linear (y = x) and quadratic (y = x2) parent functions; Supporting Standard

(B) identify mathematical domains and ranges and determine reasonable domain and range values for given situations, both continuous and discrete; Readiness Standard

(C) interpret situations in terms of given graphs or create situations that fit given graphs; and Supporting Standard 

(D) collect and organize data, make and interpret scatterplots (including recognizing positive, negative, or no correlation for data approximating linear situations), and model, predict, and make decisions and critical judgments in problem situations. Readiness Standard

 


(A.3) Foundations for functions. The student understands how algebra can be used to express generalizations and recognizes and uses the power of symbols to represent situations. The student is expected to


(A) use symbols to represent unknowns and variables; and Supporting Standard

(B) look for patterns and represent generalizations algebraically. Supporting Standard

 


(A.4) Foundations for functions. The student understands the importance of the skills required to manipulate symbols in order to solve problems and uses the necessary algebraic skills required to simplify algebraic expressions and solve equations and inequalities in problem situations. The student is expected to


(A) find specific function values, simplify polynomial expressions, transform and solve equations, and factor as necessary in problem situations; Readiness Standard

(B) use the commutative, associative, and distributive properties to simplify algebraic expressions; and Supporting Standard (C) connect equation notation with function notation, such as y = x + 1 and f (x) = x + 1. Supporting Standard

(C) connect equation notation with function notation, such as y = x + 1 and f (x) = x + 1. Supporting Standard