In Topic C, students extend their understanding of piecewise functions and their graphs including the absolute value and step functions. They learn a graphical approach to circumventing complex algebraic solutions to equations in one variable, seeing them as f(x) = g(x) and recognizing that the intersection of the graphs of f(x) and g(x) are solutions to the original equation (A-REI.D.11). Students use the absolute value function and other piecewise functions to investigate transformations of functions and draw formal conclusions about the effects of a transformation on the function’s graph (F-IF.C.7, F-BF.B.3).
Algebra I Module 3, Topic C, Overview
Common Core Learning Standards
|A.REI.11||Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x...|
|F.IF.7.a||Graph linear and quadratic functions and show intercepts, maxima, and minima.|
|F.BF.3||Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for...|