![]() ![]() *Note that trigonometry permeates most of the major topics and accounts for more than 15% of the exam. Ability to interpret and construct functions as models and to translate ideas among symbolic, graphical, tabular, and verbal representations of functions.Ability to apply trigonometry in various problem-solving contexts.Ability to demonstrate an understanding of the basic trigonometric functions and their inverses and to apply the basic trigonometric ratios and identities (in right triangles and on the unit circle).Ability to demonstrate an understanding of the analytic geometry of lines, circles, parabolas, ellipses, and hyperbolas.Ability to demonstrate an understanding of basic properties of functions and to recognize elementary functions (linear, quadratic, absolute value, square root, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric, and piecewise-defined functions) that are presented symbolically, graphically, or in tabular form.Ability to recognize and perform operations and transformations on functions presented symbolically, graphically, or in tabular form.Representations of Functions: Symbolic, Graphical, and Tabular (30%) Ability to demonstrate an understanding of the concept of a function, the general properties of functions (e.g., domain and range), function notation, and to perform symbolic operations with functions (e.g., evaluation and inverse functions). ![]() Ability to solve systems of equations, including linear and nonlinearįunctions: Concept, Properties, and Operations (15%).Ability to solve equations and inequalities, including linear, quadratic, absolute value, polynomial, rational, radical, exponential, logarithmic, and trigonometric.Ability to perform operations on algebraic expressions.Algebraic Expressions, Equations, and Inequalities (20%) The percentages next to the topics indicate the approximate percentage of exam questions on that topic. The subject matter of the Precalculus exam is drawn from the following topics. Solving nonroutine problems or problems that require insight, ingenuity, or higher mental processes. ![]()
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