Mathematics III Reasoning with Equations and Inequalities


Reasoning with Equations and Inequalities


Understand solving equations as a process of reasoning and explain the reasoning. [Simple radical and rational]
2. Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise. tools-icon
Represent and solve equations and inequalities graphically. [Combine polynomial, rational, radical, absolute value, and
exponential functions.]
11. 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 the solutions approximately, e.g., 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.