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Linear and Quadratic Functions

  • Andrzej Sokolowski

摘要

This chapter discusses attributes of linear and quadratic functions, focusing on their behavior, sketching, and modeling. Based on these functions, several fundamental concepts will be introduced to extend their applications to higher-degree polynomial functions. One of the concepts introduced in this chapter is function limits. Limits will be introduced to support the description of functions’ long-run behavior. Their interpretations will be initiated from graphs, and they will extend to algebraic forms. Polynomial functions encompass linear, quadratic, and other degree functions that are fundamental in understanding rational, composite, piecewise, exponential, or logarithmic functions. Thus, being versed in e.g., solving quadratic equations will project on the skills of solving other types of equations, such as trigonometric or logarithmic. Modeling with linear and quadratic functions will conclude this chapter.