Graphs of rational functions pdf
Section 7. 3 Graphing Rational Functions 643 Version: Fall2007 Asymptote or Hole? 1. Identify therestrictionsoff. 2. Reducerational function by the denominator and rewriting the rational function as this result. The slant asymptote will be equal to the nonfractional part of this result. Method For Graphing Rational Functions 1. Make sure the rational function is reduced. 2. Find and plot all asymptotes. 3. Plot several points on each side of each vertical asymptote. 4. graphs of rational functions pdf
Sketch graphs of rational functions that have slant asymptotes. Use rational functions to model and solve reallife problems. What You Should Learn. 3 Introduction. 4 Find all vertical and horizontal asymptotes of the graph of each rational function. Solution: a.
Asymptotes and Holes Graphing Rational Functions Asymptotes and Holes sometimes save time in graphing rational functions. If a function is even or odd, then half of the function can be Rational Functions MATH 1330 Precalculus 231 Answer the following. 41. In the function View Homework Help 02 Graphs of Rational Functions. pdf from MATH 2412 at Lone Star College System. graphs of rational functions pdf Graphing Rational Functions Date Period Identify the points of discontinuity, holes, vertical asymptotes, xintercepts, and horizontal asymptote of each.
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 is q(x). Examples. 3(x5) (x1) 1 x 2x 3 1 2x 3 The last example is both a polynomial and a rational function. In a similar way, any polynomial is a rational function. graphs of rational functions pdf Sketching the Graphs We now use asymptotes and symmetry to help us sketch the graphs of some rational functions. EXAMPLE 4 Graphing a rational function Sketch the graph of each rational function. Math 1314 Rational Functions Rational Functions A rational function is the algebraic equivalent of a rational number. Recall that a rational number Some Steps to Follow in Graphing Rational Functions 1. Find all asymptotes and plot them. 2. Find xintercept(s) by setting the numerator equal to 0 and solving for x. functions, rational functions may The graph of a rational function has a slant asymptote if the degree of the numerator is exactly one more than the degree of the denominator. Long division is used to find slant asymptotes. The only time you have an oblique asymptote is Step 2: Find and plot the xintercepts and yintercept of the function (if they exist). A) xintercept(s): Set; 0 and solve. B) yintercept Evaluate: 0; if it exists.Rating: 4.91 / Views: 867