TEKS: Chapter 111. Mathematics See All Teacher Resources
111.33.b.10
(10) Rational functions. The student formulates equations and inequalities based on rational 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 quotients of polynomials to describe the graphs of rational functions, predict the effects of parameter changes, describe limitations on the domains and ranges, and examine asymptotic behavior;
- (B) analyze various representations of rational functions with respect to problem situations;
- (C) determine the reasonable domain and range values of rational functions, as well as interpret and determine the reasonableness of solutions to rational equations and inequalities;
- (D) determine the solutions of rational equations using graphs, tables, and algebraic methods;
- (E) determine solutions of rational inequalities using graphs and tables;
- (F) analyze a situation modeled by a rational function, formulate an equation or inequality composed of a linear or quadratic function, and solve the problem; and
- (G) use functions to model and make predictions in problem situations involving direct and inverse variation.