Functions
Students can explain and apply mathematical concepts and carry out mathematical procedures with precision and fluency to define, evaluate, and compare functions and use functions to model relationships between quantities. Tasks associated with Target E ask students to relate different representations of functions (equations, graphs, tables, or verbal descriptions). Some tasks for this target will ask students to produce or identify input and output pairs for a given function. Other tasks will ask students to compare properties of linear functions (e.g., rate of change or initial value). Other tasks should ask students to classify functions as linear or nonlinear when expressed in any of the representations listed above. Some of these may be connected to 8.SP Target J. Tasks for Target F will ask students to construct a function to model a linear relationship between two quantities and determine the rate of change or initial value of a linear function from given information. Other tasks will ask students to identify parts of a graph that fit a particular qualitative description (e.g., increasing or decreasing) or sketch a graph based on a qualitative description.