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Introduction To Rational Functions Common Core Algebra 2 Homework Answers

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Chapter 7 Rational Expressions Algebra Ii Common Core

Common Core Algebra II.Unit 10.Lesson 14.Reasoning About Radical and Rational Equations
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1 Chapter 7 Rational Expressions Algebra II Common Core Lesson 1: Intro to Rational Functions and Undefined Values Lesson : Simplifying Rational Expressions Lesson 3: Multiplying and Dividing Rational Expressions Lesson 4: Adding and Subtracting Rational Expressions Lesson 4 Practice: Adding & Subtracting Rational Expressions Lesson 5: Complex Fractions Lesson 6: Fractional Equations This assignment is a teacher-modified version of Algebra Common Core Copyright 016 emath Instruction, LLC used by permission.

2 UNIT 7 LESSON 1 INTRODUCTION TO RATIONAL FUNCTIONS Rational functions are simply the of polynomial functions. They take on more interesting properties and have more interesting graphs than polynomials because of the interaction between the numerator and denominator of the fraction. Recall: Compositions of functions Exercise 1: If g = 3x and then find: f) f) f) Undefined: Is when the denominator of a fraction is equal to. A fraction cannot have zero in the denominator because we cannot divide by. Exercise : Consider the rational function given by. Algebraically determine the y-intercept for this function. Algebraically determine the x-intercept of this function. Hint a fraction can only equal zero if its numerator is zero.

3 For what value of x is this function undefined? Why is it undefined at this value? Based on , state the domain of this function in set-builder notation. Sketch a graph of this function.

33 .) Algebraically prove that, where.

Introduction To Rational Functions Common Core Algebra 2 Homework Answers

Asked by wiki @ in Mathematics viewed by 24 People


Using the concept of function, it is found that:

  • Graphs B, C, D and F are functions.
  • Graphs A and E are not functions.


  • In a function, one value of the input can be related to only one value of the output.
  • In a graph, it means that for each value of x, there can only be one respective value of y. That is, if a vertical line is traced at a value of x, it can cross the function only once, that is, there cannot be points aligned vertically.
  • In graphs B, C, D and F, it can be seen that for each x value, there is only one respective y-value, thus, they are functions.
  • In graphs A and E, for values of x, such as x = 3 for both, there are two respective values of y, thus they are not functions.

A similar problem is given at

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