2. Advanced Math¶
Focuses on understanding absolute value, quadratic, exponential, polynomial, rational, radical, and other nonlinear equations, along with their graphs and transformations.
重要度: ⭐⭐⭐⭐⭐
本单元包含的章节¶
- 2.1 Absolute Value Equations and Functions — Understanding absolute value equations, inequalities, and their V-shaped graphs with transformations.
- 2.2 Quadratic Equations and Functions — Solving quadratic equations, analyzing parabolas, and applying transformations to quadratic functions.
- 2.3 Polynomial Equations and Functions — Understanding higher-degree polynomials, factoring, roots, and end behavior of polynomial graphs.
- 2.4 Rational Equations and Functions — Solving rational equations, analyzing asymptotes, discontinuities, and behavior of rational functions.
- 2.5 Radical Equations and Functions — Solving equations with radicals, understanding domain restrictions, and graphing radical functions.
- 2.6 Exponential Equations and Functions — Solving exponential equations, understanding growth and decay, and analyzing exponential graphs.
- 2.7 Function Transformations and Compositions — Applying translations, reflections, stretches, and compositions to transform function graphs.
- 2.8 Nonlinear Systems and Applications — Solving systems of nonlinear equations and applying advanced functions to real-world problems.