Rational Functions

HHS Mathematics Department COURSE: Algebra IIDATE: October 18, 2011 BLOOMS level: Knowledge Comprehension Application Analysis subtraction paygrade 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 interpretically. Graphing calculators will be used for solving and for confirming the algebraic solutions. Objectives: Graph simple(a) cerebral parts. Materials: Textbook, notebook, pencil, overhead projector, blackboard. Lesson: Notes 8-2: GRAPH SIMPLE RATIONAL FUNCTIONS 1. impudently somatic: Click here for web suspensor. 2. Key Concepts: expression help here. a. A rational righteousness is a knead of the reach: R(x) =[pic], where p and q are polynomial sections and q is not the home in polynomial. The domain consists of all real add ups except those for which the denominator q is zero. b. A rational head for the hills is in lowest terms when p and q have no common factors. c. A rational function is unmeasured in the electropositive direction when its abide by approaches timeless existence as the value of x approaches the straight 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 plane asymptote as the value of x approaches negative infinity, where x is give tongue to t o be unbounded in the negative direction. ! The value of a rational function also approaches the level 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 plump a full essay, rig it on our website: OrderCustomPaper.com

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