posted by ladybug

what is the slant asymptote of the graph of the rational function and b use the slant to graph the rational function. f(x)x^2-x-20/x-6
a. y=? or either there is no slant rational function

B. use the slant asymptote to graph the function(first determine the symmetry of the graph of f)
*the graph has y-axis symmetry f(x)=f(x)
*the graph has orgin symmetry f(-x)=-f(x)
*the graph has both y-axis and orgin symmetry
*the graph has neither y-axis nor orgin symmetry

  1. Reiny

    I used synthetic division and got

    (x^2 - x - 20)/(x-6)
    = x + 5 + 10/(x-6)

    so the slanted asymptote is
    y = x + 5

    b) we can't draw graphs on here

Respond to this Question

First Name

Your Answer

Similar Questions

  1. Gr.11 - Rational functions graphing.

    1. Identify a rational function whose graph is a horizontal line except for two holes. Graph the function. 2. Identify a rational function who graph lies entirely above the x-axis and has a single vertical asymptote. Graph the function. …
  2. Pre Cal.

    Determine the slant asympotte [sic] for f (x) = (x^2 - 5x - 3)/x My answer: (x^2 - 5x - 3)/x = x - 5 - 3/x The slant asymptote is y = x - 5.
  3. Calculus

    Which of these rational functions has a ) horizontal asymptote?
  4. Math

    Explain how you can tell (without graphing it) that the rational function r(x)= x^6 +10 / x^4+8x^2+15 has no x intercept and no horizontal, vertical, or slant asymptote. What is its end behaviour?
  5. Algebra

    Graph and label the following two functions: f(x)=(x^2+7x+12)/(x+4) g(x)=(-x^2+3x+9)/(x-1) 1. Describe the domain and range for each of these functions. 2. Determine the equation(s) of any asymptotes found in the graphs of these functions, …
  6. calculus

    Determine if the graph of the rational function has a slant asymptote. If it does, find the equation of the slant asymptote. (2x^3+18x^2+47x+24)/(x^2+6x+5)
  7. algebra

    find the slant asymptote of the graph of the rational function and use the slant asymptote to graph. f(x)=x^2+x-2/x-7 find slant asymptote of graph of f use slant asymptote to graph rational function find x and y intercepts find vertical …
  8. pre-calculas

    Find the slant asymptote, if any, of the rational function. Do not graph the function. (Enter your answers as a comma-separated list of equations. If an answer does not exist, enter DNE.) f(x) = x2 − 2x + 15 _____________ x + …
  9. pre calculus

    use the seven step method to graph the following rational function: f(x)=3x^2+x-4/2x^2-5x a. determine the symmetry of the function. b. find the x and y intercepts. c. find the verticle asymptote d.find the horizontal asymptote e.plot …
  10. Math

    Write a rational function satisfying the following criteria. vertical Asymptote: x=-1, slant asymptote: y=x+2, zero of the function: x=3 I had f(x)=x^2+3x+2/x+1, that only works for the asymptotes and not the zero can someone please …

More Similar Questions