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# Math Notes and Exercises The image contains various math notes and exercises, likely from a high school algebra or precalculus course. The content covers several topics, including: * **Systems of Equations:** Vocabulary and solving systems by graphing. Concepts of independent, dependent, and in...

# Math Notes and Exercises The image contains various math notes and exercises, likely from a high school algebra or precalculus course. The content covers several topics, including: * **Systems of Equations:** Vocabulary and solving systems by graphing. Concepts of independent, dependent, and inconsistent systems are discussed. * **Functions:** Function notation, evaluating functions, identifying domain and range, end behavior of graphs (increasing/decreasing), piecewise functions, relative maximums, and x-intercepts. * **Quadratic Equations:** Solving by factoring, completing the square, finding the discriminant, and understanding the types of solutions (real, imaginary). The standard form of the quadratic equation is listed ax² + bx + c = 0 * **Graphing:** Graphing techniques and transformations (translations, reflections, and dilations). Identifying symmetry in graphs and interpreting end behaviors. * **Polynomial Factorization:** Types of polynomials (difference of squares, sum of squares, perfect square trinomials). The images also include graphs and tables related to function and quadratic equation concepts. Various example problems and exercises are also displayed. The text includes various formulas and equations, including LaTeX formatted equations.