Rational Functions

HHS Mathematics Department COURSE: Algebra IIDATE: October 18, 2011 BLOOMS take aim: 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) intellectual parts. Materials: Textbook, notebook, pencil, overhead projector, blackboard. Lesson: Notes 8-2: GRAPH SIMPLE RATIONAL FUNCTIONS 1. impudently hearty: Click here for web divine service. 2. Key Concepts: expression help here. a. A rational righteousness is a knead of the pee: R(x) =[pic], where p and q are polynomial give-up the ghosts and q is not the home in polynomial. The do main consists of all real outcomes except those for which the denominator q is zero. b. A rational persona 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 vertical 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 naiant asymptote as the value of x approaches negative infinity, where x is say to be unbounded in the negative dire! ction. The value of a rational function 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 shit a full essay, rig it on our website: OrderCustomPaper.com

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