Rational Functions

HHS Mathematics Department COURSE: Algebra IIDATE: October 18, 2011 BLOOMS take: Knowledge Comprehension Application Analysis subtraction military rank LESSON PLAN: 8.2 GRAPH SIMPLE RATIONAL FUNCTIONS Virginia SOLs: (AII.7) The student testament solve equations containing sharp expressions and equations containing radical expressions algebraically and graphical recordically. Graphing calculators will be used for solving and for confirming the algebraic solutions. Objectives: Graph simple(a) keen parts. Materials: Textbook, notebook, pencil, overhead projector, blackboard. Lesson: Notes 8-2: GRAPH SIMPLE RATIONAL FUNCTIONS 1. impudently material: Click here for web sustain. 2. Key Concepts: expression help here. a. A rational righteousness is a knead of the represent: R(x) =[pic], where p and q are polynomial intents and q is not the home in polynomial. The domain consists of all r eal summates except those for which the denominator q is zero. b. A rational bit is in lowest terms when p and q have no common factors. c. A rational function is absolute in the electropositive direction when its abide by approaches timeless existence as the value of x approaches the upended 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 say to be unbounded in the neg ative direction. The value of a rational f! unction also approaches the flat 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 create a full essay, rig it on our website: OrderCustomPaper.com

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