Rational Functions

HHS Mathematics Department


COURSE: Algebra IIDATE: October 18, 2011

BLOOMS LEVEL: Knowledge Comprehension Application Analysis subtraction Evaluation

LESSON PLAN: 8.2 GRAPH SIMPLE RATIONAL FUNCTIONS



Virginia SOLs: (AII.7) The student volition solve equations containing sharp expressions and equations containing radical expressions algebraically and graphically. Graphing calculators will be used for solving and for confirming the algebraic solutions.

Objectives: Graph simple(a) rational parts.

Materials: Textbook, notebook, pencil, overhead projector, blackboard.

Lesson: Notes 8-2: GRAPH SIMPLE RATIONAL FUNCTIONS
1. impudently material: Click here for web help.

2. Key Concepts: expression help here.
a. A rational righteousness is a knead of the form: R(x) =[pic], where p and q are polynomial functions and q is not the home in polynomial. The domain consists of all real numbers except those for which the denominator q is zero.
b. A rational function is in lowest terms when p and q have no common factors.
c. A rational function is unbounded 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 the furrow x = c is a vertical asymptote of the graph of R.
d. A rational functions value 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 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 get a full essay, rig it on our website: Ordercustompaper.com



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