TEKS: Chapter 111. Mathematics See All Teacher Resources

111.33.b.11

(11) Exponential and logarithmic functions. The student formulates equations and inequalities based on exponential and logarithmic functions, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation. The student is expected to:

• (A) develop the definition of logarithms by exploring and describing the relationship between exponential functions and their inverses;

• (B) use the parent functions to investigate, describe, and predict the effects of parameter changes on the graphs of exponential and logarithmic functions, describe limitations on the domains and ranges, and examine asymptotic behavior;

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

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

• (E) determine solutions of exponential and logarithmic inequalities using graphs and tables; and

• (F) analyze a situation modeled by an exponential function, formulate an equation or inequality, and solve the problem.