TEKS: Chapter 111. Mathematics See All Teacher Resources

111.48.c.7

(7) Modeling from data. The student applies mathematical processes to analyze and model data based on real-world situations with corresponding functions. The student is expected to:

• (A) represent domain and range of a function using interval notation, inequalities, and set (builder) notation;

• (B) compare and contrast between the mathematical and reasonable domain and range of functions modeling real-world situations, including linear, quadratic, exponential, and rational functions;

• (C) determine the accuracy of a prediction from a function that models a set of data compared to the actual data using comparisons between average rates of change and finite differences such as gathering data from an emptying tank and comparing the average rate of change of the volume or the second differences in the volume to key attributes of the given model;

• (D) determine an appropriate function model, including linear, quadratic, and exponential functions, for a set of data arising from real-world situations using finite differences and average rates of change; and

• (E) determine if a given linear function is a reasonable model for a set of data arising from a real-world situation.