Cubic, cube root, absolute value and rational functions, equations, and inequalities. The student applies mathematical processes to understand that cubic, cube root, absolute value and rational functions, equations, and inequalities can be used to model situations, solve problems, and make predictions.

A2.6.AAnalyze the effect on the graphs of f(x) = x^3 and f(x) = cube root of x when f(x) is replaced by af(x), f(bx), f(x - c), and f(x) + d for specific positive and negative real values of a, b, c, and d.A2.6.BSolve cube root equations that have real roots.A2.6.CAnalyze the effect on the graphs of f(x) = |x| when f(x) is replaced by af(x), f(bx), f(x-c), and f(x) + d for specific positive and negative real values of a, b, c, and d.A2.6.DFormulate absolute value linear equations.A2.6.ESolve absolute value linear equations.A2.6.FSolve absolute value linear inequalities.A2.6.GAnalyze the effect on the graphs of f(x) = 1/x when f(x) is replaced by af(x), f(bx), f(x-c), and f(x) + d for specific positive and negative real values of a, b, c, and d.A2.6.HFormulate rational equations that model real-world situations.A2.6.ISolve rational equations that have real solutions.A2.6.JDetermine the reasonableness of a solution to a rational equation.A2.6.KDetermine the asymptotic restrictions on the domain of a rational function and represent domain and range using interval notation, inequalities, and set notation.A2.6.LFormulate and solve equations involving inverse variation.
Example Problems
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