Lesson Plan

Extract comparable properties (intercepts, maxima/minima, average rate of change, domain, range) from functions given in different representations (algebraic, graphical, tabular, verbal)

Compare the same property across two functions to determine which is greater, lesser, or equal

Read key features from graphs and tables with sufficient accuracy to support valid comparisons

Convert between representations when necessary to make a comparison feasible

Justify comparisons using evidence from each representation, citing specific values, coordinates, or calculations

Communicate comparison results in complete sentences that reference both functions and the specific property being compared

HSF.IF.C.9

HSF.IF.C.9: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.