LAC 28:CXLII.3109. Reasoning with Equations and Inequalities

A. Understand solving equations as a process of reasoning and explain the reasoning. 1. Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise B. Represent and solve equations and inequalities graphically. 1. Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x). Find approximate solutions by using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.