Rational Functions

Worksheet 2.6A, Rational functions - Sam Houston State ...

Worksheet 2.6A, Rational functions MATH 1410 (SOLUTIONS) For each of the rational functions given below, do the following: 1.Find the domain of the rational function. 2.Reduce the rational function to lowest terms, if possible. 3.Find the x- and y-intercepts of the graph of the rational function, if they exist.

  Functions, Rational, Rational functions

Asymptotes, Holes, and Graphing Rational Functions

Asymptotes, Holes, and Graphing Rational Functions Holes It is possible to have holes in the graph of a rational function. Before putting the rational function into lowest terms, factor the numerator and denominator. If there is the same factor in the numerator and denominator, there is a hole. Set this factor equal to zero and solve. The

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Graphing Simple Rational Functions - cdn.kutasoftware.com

Graphing Simple Rational Functions Date_____ Period____ Identify the vertical asymptotes, horizontal asymptote, domain, and range of each. 1) f (x) = − 4 x 2) f (x) = 4 x − 1 + 1 3) f (x) = − 3 x − 1 − 1 4) f (x) = − 3 x Identify the vertical asymptotes, horizontal asymptote, domain, and range of each. Then sketch the graph. 5) f (x ...

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ASYMPTOTES OF RATIONAL FUNCTIONS

ASYMPTOTES OF RATIONAL FUNCTIONS ( ) ( ) ( ) D x N x y f x where N(x) and D(x) are polynomials _____ By Joanna Gutt-Lehr, Pinnacle Learning Lab, last updated 1/2010 HORIZONTAL ASYMPTOTES, y = b A horizontal asymptote is a horizontal line that is not part of a graph of a function but guides it for x-values ...

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GRAPHING RATIONAL FUNCTIONS

GRAPHING RATIONAL FUNCTIONS To Identify Types of Discontinuity: Step 1: HOLES (Removable Discontinuities) Factor numerator & denominator Simplify If anything cancels, then there is a hole (More than one factor cancels More than one hole) Find the ordered pair, ( , ), substitute x into the SIMPLIFIED EQUATION to get y

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2 Complex Functions and the Cauchy-Riemann Equations

polynomial functions in xand y. A rational function R(z) = P(z)=Q(z) with Q(z) not identically zero is continuous where it is de ned, i.e. at the nitely many points where the denominator Q(z) is not zero. More generally, if f(z) and g(z) are continuous, then so are:

  Equations, Functions, Complex, Rational, Cauchy, Riemann, Complex functions and the cauchy riemann equations

Rational Functions - Math

Rational Functions In this chapter, you’ll learn what a rational function is, and you’ll learn how to sketch the graph of a rational function. Rational functions A rational function is a fraction of polynomials. That is, if p(x)andq(x) are polynomials, then p(x) q(x) is a rational function. The numerator is p(x)andthedenominator is q(x ...

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Adding+Subtracting Rational Expressions

28) Split into a sum of two rational expressions with unlike denominators: 2x + 3 x2 + 3x + 2 Many solutions. Ex: 1 x + 1 + 1 x + 2-2-Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com

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Solving Rational Equations

Solving Rational Equations Solve each equation. Remember to check for extraneous solutions. 1) a + 1 5a − 1 a = 1 2) 6v − 6 v2 + 2 v2 = 1 v2 3) 1 n2 + 4 n = 3 n2 4) 4 x + 1 x2 = 1 5x2 5) 1 k2 = 1 3k2 + k + 5 3k2 6) x − 5 x2 + 1 x = 6 x 7) 6 k − 1 k2 + 6k = 1 k 8) 4 n + 1 + 1 n2 − 5n − 6 = 1 n − 6 9) 1 x + 5 − 1 x2 + 5x = 4 x2 ...

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Academic Standards for Mathematics

Mar 01, 2014 · PA CORE STANDARDS Mathematics | P a g e 4 March 1, 2014 The PA Core Standards for Mathematics detail four standard areas: Numbers and Operations, Algebraic Concepts, Geometry, and Measurement, Data, and Probability.