![]() ![]() Graphmatica (already downloaded on computer).Materials List and Advanced Preparations: (C) use properties of functions to analyze and solve problems and make predictions (A) use functions such as logari\thmic, exponential, trigonometric, polynomial, etc. (3) The student uses functions and their properties to model and solve real-life problems. ![]() ![]() x), |f(x)|, f(|x|), to the parent functions.(A) apply basic transformations, including a (2) The student interprets the meaning of the symbolic representations of functions and operations on functions within a context. (D) recognize and use connections among significant points of a function (roots, maximum points, and minimum points), the graph of a function, and the symbolic representation of a function and (B) determine the domain and range of functions using graphs, tables, and symbols (A) describe parent functions symbolically and graphically, including y = x n, y = ln x, y = log a x, y =, y = e x, y = a x, y = sin x, etc. (1) The student defines functions, describes characteristics of functions, and translates among verbal, numerical, graphical, and symbolic representations of functions, including polynomial, rational, radical, exponential, logari\thmic, trigonometric, and piecewise-defined functions. Students use a variety of representations (concrete, numerical, algori\thmic, graphical), tools, and technology to model functions and equations and solve real-life problems. Students also use functions as well as symbolic reasoning to represent and connect ideas in geometry, probability, statistics, trigonometry, and calculus and to model physical situations. Students use functions, equations, and limits as useful tools for expressing generalizations and as means for analyzing and understanding a broad variety of mathematical relationships. Students use symbolic reasoning and analytical methods to represent mathematical situations, to express generalizations, and to study mathematical concepts and the relationships among them. (1) In Precalculus, students continue to build on the K-8, Algebra I, Algebra II, and Geometry foundations as they expand their understanding through other mathematical experiences. Through this activity, students will be able to predict more easily the desired equation needed to represent a particular relationship, rather than having to simply “guess and check.” The students will also be able to see similarities between how different types of functions are manipulated.ġ) discover the factors that influence translations and scaling of functionsĢ) predict the behavior and placement of functionsģ) formulate equations of functions that best describe particular relationships Concepts: Students will gain a better understanding of how to manipulate the basic parabolic function in order to create parabolas that can be used to recreate specific images. ![]()
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