grade 12 math

posted by .

Given the function f(x)= x^3+8/x^2+-6, determine the eqaution of the asymptotes and state the end behaviours of the graph near the asymptotes.

  • grade 12 math -

    check you typing.

    did you mean
    f(x) = (x^3 + 8)/(x^2 - 6)
    or is it the way you typed it?
    What is with the +-6 ?

  • grade 12 math -

    it is f(x)=x^3+8/x^2+x-6

  • grade 12 math -

    assuming you really do mean

    (x^3 + 8)/(x^2 + x - 6)
    = (x+2)(x^2 - 2x + 4) / (x+3)(x-2)

    It crosses the x-axis at x = -2

    there are vertical asymptotes where the denominator is zero:
    x = -3 or x=2

    as x gets large, y -> x^3/x^2 = x

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Pre-Cal

    use a graphing calculator to obtain the graph of the function. What do you observe about its asymptotes?
  2. Math - asymptotes

    Identify all asymptotes. 1. y= 1 / 2-√x^2 - 3x the asymptotes I got were: vertical: 1 & 4 horizontal: 0 Is this it or are there more?
  3. Alegebra2

    1. Given f(x)=3^(x-2), simplify f(x+1)-f(x) into an expression of the form (a)(3^x) 2. Given the function f(x)=e^(x) ln x, write the equation(s) for any and all asymptotes. If the graph has no asymptotes, state that fact.
  4. trig

    I need to state the period and 2 consecutive asymptotes on the graph for the following questions. 1: y = -3 tan pi*x period: pi (?
  5. Math - Domain and Asymptotes

    Given the following rational function: f(x) = (x^2 + 6x - 8) / (x – 5) (a) state the domain. (b) find the vertical and horizontal asymptotes, if any. (c) find the oblique asymptotes, if any.
  6. TRIG

    I need to state the period and 2 consecutive asymptotes on the graph for the following questions. 1: y = -3 tan pi*x period: pi (?
  7. College Algebra

    Using the 7 steps outlined in section 4.3 of your book, analyze the graph of the following function: R(x) = x^2 - 49/x^4 - 16 Step 1: Factor the numerator and denominator of R and find its domain. If 0 is in the domain, find y-intercept, …
  8. College Algebra HELP

    Use the seven step method described in the book to graph the following rational function f(x)=(2x^2+x-3)/(2x^2-7x) 1) Determine the symmetry of the function 2) Find the y-intercept 3) Find the x-intercept 4) Find the vertical asymptotes …
  9. math

    Given the function f(x)=x^3-2x^2-5x+6/x^2+3x+2 a) Determine algebraically the equation for any asymptotes (HA, VA and or OA) b)State the domain of the function c)State the behaviour of the function at each of the asymptotes
  10. Algebra

    Graph y=5^x and y=log_5 x on a sheet of paper using the same set of axes. Use the graph to describe the domain and range of each function. Then identify the y-intercept of each function and any asymptotes of each function. So far I …

More Similar Questions