Search results with tag "Rational functions"
Worksheet 2.6A, Rational functions - Sam Houston State ...
www.shsu.eduWorksheet 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.
Asymptotes and Holes Graphing Rational Functions
online.math.uh.eduExercise Set 2.3: Rational Functions MATH 1330 Precalculus 229 Recall from Section 1.2 that an even function is symmetric with respect to the y-axis, and an odd function is symmetric with respect to the origin. This can sometimes save time in graphing rational functions. If a function is even or odd, then half of the function can be
Asymptotes, Holes, and Graphing Rational Functions
www.sctcc.eduAsymptotes, 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
Graphing Rational Functions
static.bigideasmath.comRewriting a rational function may reveal properties of the function and its graph. For example, rewriting a rational function in the form y = a — x − h + k reveals that it is a translation of y = a — with vertical asymptote x x = h and horizontal asymptote y = k. Rewriting and Graphing a Rational Function Rewrite g(x) = 3x + 5 — x + 1 ...
ASYMPTOTES OF RATIONAL FUNCTIONS
www.austincc.eduASYMPTOTES 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 ...
GRAPHING RATIONAL FUNCTIONS
www.cbsd.orgGRAPHING 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
Graphing Simple Rational Functions - cdn.kutasoftware.com
cdn.kutasoftware.comGraphing 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 ...
=xiIiIx÷D xTt2#) - math.tamu.edu
www.math.tamu.eduSection 5.2A Rational Functions Definition: A function is the quotient of two polynomial functions. The domain of a rational function is all real numbers which make the denominator (bottom of the
MATH 1330 Precalculus - University of Houston
space.uh.eduExercise Set 2.3: Rational Functions..... 26 Exercise Set 2.4: Applications and Writing Functions ... function without graphing the points. 14. Determine whether or not each set of points represents a function without graphing the
Rational Functions - Math
www.math.utah.eduRational 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 ...