TEKS: Chapter 111. Mathematics See All Teacher Resources

111.33.b.9

(9) Quadratic and square root functions. The student formulates equations and inequalities based on square root functions, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation. The student is expected to:

• (A) use the parent function to investigate, describe, and predict the effects of parameter changes on the graphs of square root functions and describe limitations on the domains and ranges;

• (B) relate representations of square root functions, such as algebraic, tabular, graphical, and verbal descriptions;

• (C) determine the reasonable domain and range values of square root functions, as well as interpret and determine the reasonableness of solutions to square root equations and inequalities;

• (D) determine solutions of square root equations using graphs, tables, and algebraic methods;

• (E) determine solutions of square root inequalities using graphs and tables;

• (F) analyze situations modeled by square root functions, formulate equations or inequalities, select a method, and solve problems; and

• (G) connect inverses of square root functions with quadratic functions.