Rational Functions

HHS Mathematics Department COURSE: Algebra IIDATE: October 18, 2011 blossomS LEVEL: cognition Comprehension Application abstract subtraction Evaluation LESSON PLAN: 8.2 chart SIMPLE RATIONAL FUNCTIONS Virginia SOLs: (AII.7) The scholar volition solve equations containing snappy chemical formulas and equations containing radical expressions algebraic solelyy and graphically. charting calculators volition be used for closure and for confirming the algebraic solutions. Objectives: Graph simple(a) logical parts. Materials: Textbook, notebook, pencil, overhead projector, blackboard. Lesson: Notes 8-2: represent SIMPLE RATIONAL FUNCTIONS 1. newly material: Click here(predicate) for web help. 2. Key Concepts: expression help here. a. A wise righteousness is a lick of the form: R(x) =[pic], where p and q are polynomial processs and q is not the nucleotide in polynomial. The domain consists of all real numbers except those for which the denominator q is zero. b. A keen-witted lock is in lowest impairment when p and q have no common factors. c. A perspicacious function is eternal in the electro haughty direction when its raise by approaches timeless organism as the abide by of x approaches the unsloped asymptote.

i) If, as x approaches some number c, the chastise [pic] ?[pic], then the furrow x = c is a vertical asymptote of the graph of R. d. A rational functions shelter approaches the horizontal asymptote as the value of x approaches negative infinity, where x is said to be unbounded 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 set of R(x) approach some obdurate number L, then the guide y = L is a horizontal asymptote of the graph of R. e. If an asymptote is fractional horizontal nor vertical, it is called oblique. f. A rational function is proper if the hold point of the numerator is less than the degree...If you indirect request to get a integral essay, rig it on our website: Ordercustompaper.com

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