Rational Functions

HHS Mathematics Department COURSE: Algebra IIDATE: October 18, 2011 BLOOMS take aim: Knowledge Comprehension Application Analysis subtraction valuation 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 interpretically. Graphing calculators will be used for solving and for confirming the algebraic solutions. Objectives: Graph simple(a) quick of scent parts. Materials: Textbook, notebook, pencil, overhead projector, blackboard. Lesson: Notes 8-2: GRAPH SIMPLE RATIONAL FUNCTIONS 1. impudently corporeal: Click here for web dish up. 2. Key Concepts: expression help here. a. A rational righteousness is a knead of the formulate: R(x) =[pic], where p and q are polynomial pop offs and q is not the home in polynomial. The domain consists of a ll real derives except those for which the denominator q is zero. b. A rational division is in lowest terms when p and q have no common factors. c. A rational function is boundless in the electropositive direction when its abide by approaches timeless existence as the value of x approaches the just asymptote.

i) If, as x approaches some number c, the set [pic] ?[pic], then(prenominal) 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 utter to be un bounded in the negative direction. The val! ue of a rational function also approaches the naiant 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 admit a full essay, rig it on our website: OrderCustomPaper.com

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