5.0 Lesson_Rational_Fns

# 5.0 Lesson_Rational_Fns - a. Restrictions: Example 2- cont....

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Lesson 5.0 Rational Expressions.notebook 1 October 20, 2009 5.0 Rational Expressions (Getting Ready) Unit 5: Rational Functions, Equations and Inequalities Recall: A rational number is of the form: A rational expression is of the form: f(x) g(x) , where f(x) and g(x) are polynomial functions and g(x) ≠0 a b | a, b ∈ I, b ≠0 } { i.e. a fraction Operations with rational expressions are similar to operations with fractions Example 1 (Reducing) 3x 4 -6x 3 +2x -4 3x 2 - 2 g(x) f(x)

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Lesson 5.0 Rational Expressions.notebook 2 October 20, 2009 Example 2 (Multiplying and Dividing) Rational Multiplication: Rational Division: Q R S P x = PR QS Q K L P ÷ = PL QK = Q L K P x Restrictions: Restrictions: Q 0 S 0 Q 0 K 0 6x 2 +x -2 5x 9x 2 -4 5- 9x- 2x 2 x
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Unformatted text preview: a. Restrictions: Example 2- cont. 12w 2-5w -2 12w 3 +w 2-6w 8w 2 + 2w -21 8w 2-2w-15 ÷ b. Restrictions: Lesson 5.0 Rational Expressions.notebook 3 October 20, 2009 Example 3 (Adding and Subtracting) A common denominator is the LCM (least common multiple) the denominators of the fractions to be added /subtracted. a. b. Restrictions: Restrictions: Example 4 (Reciprocal Function) Recall: The Reciprocal Function: a. b. Graph f(x). List the transformations that need to be applied to f (x) = 1/x to graph the reciprocal function: page 246 #1acef, 2bcde, 3bcd, 4cdef,5bd, 7d Homework...
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## This note was uploaded on 01/14/2012 for the course MAT 107 taught by Professor Sda during the Spring '11 term at Beacon FL.

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5.0 Lesson_Rational_Fns - a. Restrictions: Example 2- cont....

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