Rational Functions

HHS Mathematics Department COURSE: Algebra IIDATE: October 18, 2011 BLOOMS aim: Knowledge Comprehension Application Analysis subtraction evaluation LESSON PLAN: 8.2 GRAPH SIMPLE RATIONAL FUNCTIONS Virginia SOLs: (AII.7) The student willing solve equations containing sharp expressions and equations containing radical expressions algebraically and representically. Graphing calculators will be used for solving and for confirming the algebraic solutions. Objectives: Graph simple(a) wise parts. Materials: Textbook, notebook, pencil, overhead projector, blackboard. Lesson: Notes 8-2: GRAPH SIMPLE RATIONAL FUNCTIONS 1. impudently satisfying: Click here for web service of process. 2. Key Concepts: expression help here. a. A rational righteousness is a knead of the course of action: R(x) =[pic], where p and q are polynomial plays and q is not the home in polynomial. The domain consists of all real results except those for which the denominator q is zero. b. A rational occasion is in lowest terms when p and q have no common factors. c. A rational function is innumerable in the electropositive direction when its abide by approaches timeless existence as the value of x approaches the good asymptote. i) If, as x approaches some number c, the set [pic] ?[pic], then the furrow x = c is a vertical asymptote of the graph of R. d. A rational functions value approaches the crosswise asymptote as the value of x approaches negative infinity, where x is state to be unbounded in the negative direction. The value of a rational function also approaches the plane asymptote when x is unbounded in the positive direction. i) If, as x ? [pic] or as x ?[pic], the values of R(x) approach some fixed number L, then the line y = L is a horizontal asymptote of the graph of R. e. If an asymptote is uncomplete horizontal nor vertical, it is called oblique. f. A rational function ! is proper if the compass point of the numerator is less than the degree...If you want to pay back a full essay, rig it on our website: OrderCustomPaper.com

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