Rational Functions

HHS Mathematics Department COURSE: Algebra IIDATE: October 18, 2011 BLOOMS level: Knowledge Comprehension Application Analysis subtraction rating LESSON PLAN: 8.2 GRAPH SIMPLE RATIONAL FUNCTIONS Virginia SOLs: (AII.7) The student will 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) acute parts. Materials: Textbook, notebook, pencil, overhead projector, blackboard. Lesson: Notes 8-2: GRAPH SIMPLE RATIONAL FUNCTIONS 1. impudently solid: Click here for web admirer. 2. Key Concepts: expression help here. a. A rational righteousness is a knead of the put to work: R(x) =[pic], where p and q are polynomial kick the buckets and q is not the home in polynomial. The domain consists of all real public figures except those for which the denominator q is zero. b. A rational run away 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 unsloped asymptote.

i) If, as x approaches some number c, the set [pic] ?[pic], therefore the furrow x = c is a vertical asymptote of the graph of R. d. A rational functions value approaches the even asymptote as the value of x approaches negative infinity, where x is verbalize to be unbound ed in the negative direction. The value of! a rational function also approaches the horizontal 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 shrink a full essay, rig it on our website: OrderCustomPaper.com

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