PPT-Rational Expressions and Functions;

Multiplying and Dividing Definition of Rational Expressions A rational expression is the ratio of two polynomials with the denominator not equal to 0 For example are rational expressions Domain. Dr Frost. Objectives: . Appreciate the difference between a rational and irrational number, and how surds can be manipulating both within brackets and fractions.. Learning Objectives. By the end of this topic, you’ll be able to answer the following types of questions:. Rational Number . Number that can be written as a fraction. -1/5 2 9/8 -6/3. Terminating Decimal . A decimal expansion that terminates in all 0’s. A TERMINATOR stops bugs. . A decimal that stops / ends. Fill-in-the-blank:. Rational. or . Irrational. ?. 1) The sum of two rational numbers is ________.. 2) The product of two rational numbers is ______.. 3) The sum of a rational and an irrational is ____.. Inverse variation. Recall: variables . x . and . y. show direct variation if . for some nonzero constant . a. .. *Note: the general equation . for inverse variation can be rewritten as . ..  . Classifying direct/inverse variation. Cases. CSCE 314. Spring 2016. Lambda Expressions. Functions can be constructed . without naming. the functions by using . lambda expressions. .. . x . . . x+x. This nameless function takes a number x and returns the result . The word . rational. contains the word . ratio. , which is another word for quotient. A rational number can be written as a ratio of integers.. Example 1 – . Determining Whether Numbers Are Rational or Irrational. Subtitle. Finding a Common Denominator. Adding and subtracting rational numbers with variables works much the same way as constants. The only variations we need to worry about is how to handle multiplication by variable factor and how that factor affects the numerator’s sum or difference.. Functions. Defn. : . Rational . F. unction. A function in the form: .  . The functions . p. and . q. are polynomials.. The domain of a rational function is the set of all real numbers except those values that make the denominator, q(x), equal to zero.. 4. 3. 2. 1. 0. In addition to level 3.0 and above and beyond what was taught in class,  the student may:. ·         Make connection with other concepts in math. ·         Make connection with other content areas.. Herbert Gintis. Santa Fe . Institute. April 2015. Disarray of the Behavioral Sciences. The behavioral sciences (economics, sociology, anthropology, psychology, political science, biology) are in . profound disarray. 4. 3. 2. 1. 0. In addition to level 3.0 and above and beyond what was taught in class,  the student may:. ·         Make connection with other concepts in math. ·         Make connection with other content areas.. Investigation 3: Multiplying and Dividing Rational Numbers. Students will demonstrate how to combine numbers with the same sign and different signs. Homework. Pg. 67. 25,38-41. Warm-up. 3.1 Multiplication Patterns with Integers. Rational Equations and Functions Algebra II Chapter 8 This Slideshow was developed to accompany the textbook Larson Algebra 2 By Larson , R., Boswell, L., Kanold , T. D., & Stiff, L. 2011 Holt NC Math 31North Carolina Standard Course of StudyNorth Carolina Math 3Standards for Mathematical Practice1Make sense of problems and persevere in solving them2Reason abstractly and 3Construct viable a