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.

3. Identify a rational function who graph has the horizontal asymptote y=2 and two vertical asymptotes. Graph the functions.

Could someone please explain to me how i would be able to figure out how to find these rational functions? And if it won't be any trouble to you, could you provide examples.. i really need to understand this because i have a quiz coming up. thanks in advance!

  1. ๐Ÿ‘ 0
  2. ๐Ÿ‘Ž 0
  3. ๐Ÿ‘ 83
asked by Mae
  1. 1. ((x-2)(x+3))/((x-2)(x+3))
    Anything with reoccurring factors as the numerator and denominator will become a hole.

    1. ๐Ÿ‘ 0
    2. ๐Ÿ‘Ž 0
    posted by Anonymous
  2. x^5รทx4-16

    1. ๐Ÿ‘ 0
    2. ๐Ÿ‘Ž 0
    posted by mehdi

Respond to this Question

First Name

Your Response

Similar Questions

  1. functions

    Identify a rational function whose graph is a horizontal line except for two holes. Graph function.

    asked by Tori on September 29, 2010
  2. Algebra

    Graph the rational function x/(x-6) To graph the function, draw the horizontal and vertical asymptotes (if any) and plot at least two points on each piece of the graph.

    asked by Kenny on March 24, 2014
  3. algebra 1

    Graph each rational function;identify the domain and ranges;and compare the graph with the graph y=1/x. 1.y=-10/x 2.y=1/(x+3)+3

    asked by Aj on April 24, 2013
  4. algebra 1

    Graph each rational function;identify the domain and ranges;and compare the graph with the graph y=1/x. 1.y=-10/x 2.y=1/(x+3)+3

    asked by Aj on April 24, 2013
  5. Calculus

    The function g is defined for x>0 with g(1)=2, g'(x)=sin(x+1/x), and g"(x)=(1-1/x^2)cos(x+1/x). A. Find all values of x in the interval 0.12

    asked by Sarah on May 8, 2015
  6. algebra

    How can you tell whether a function is rational or not? And how do you determine holes of a graph? Thanks!

    asked by Derek on January 22, 2009
  7. Pre Calculus

    a. Identify the horizontal asymptotes of the function f(x)=x+6 / |x|+1 ( / = divided by/over) b. Make a summary of how you may sketch a graph of this rational function.

    asked by Jessica Maths on July 4, 2016
  8. Algebra

    write an equation for a rational function that has a vertical asymptote of -4, a horizontal asymptote of 3, and vertically shrinks the graph by a factor of 5 (compared to the graph of y=1/x). So far I have Y=3x/x+4 but I can't

    asked by Donna on August 10, 2015
  9. calculus

    If a function f is continuous for all x and if f has a relative minimum at (-1,4) and a relative minimum at (-3,2), which of the following statements must be true? (a) The graph of f has a point of inflection somewhere between x =

    asked by Sam on December 27, 2011
  10. algebra

    why is the graph of an inverse flipped over the line y=x instead of another line? The inverse function of f(x) tells you what value of x you get for a given value of y. When you flip the graph about the 45 degree y=x line, it is

    asked by Deidre on December 26, 2006

More Similar Questions