College Algebra

posted by .

Given the following rational functions,find:a.)the horizontal asymptote(s), b.)the vertical asymptote(s), if any,and c.) the oblique asymptote(),if any. f(x)=x(x-17)^2/(x+12)^3

  • College Algebra -

    f(x) = x(x-17)^2 / (x+12)^3

    a)
    Horizontal as:
    consider what happens when x becomes large
    When expanded both numerators and denominators lead with +x^3
    so as x ---> ∞ f(x) = x^3 .../x^3 ... = 1

    e.g.
    let x = 100,000 , f(100,000) = .9993..
    let x = -100,000 , f(-100,000) = 1.0007...

    so the H.A. is y = 1

    b)
    vertical asymptotes are caused by the denominator becoming zero
    x+12=0
    x = -12 is your V.A.

    c) no oblique

  • College Algebra -

    Want to let you know that the H.A. is WRONG by the way

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    Which of these rational functions has a ) horizontal asymptote?
  2. Precalculus

    Write an equation for rational function with given properties. a) a hole at x = 1 b) a vertical asymptote anywhere and a horizontal asymptote along the x-axis c) a hole at x = -2 and a vertical asymptote at x = 1 d) a vertical asymptote …
  3. College Algebra

    1.Use completing the square to describe the graph of the following function. Support your answer graphically. f(x) = -2x^2 + 4x + 5 2. Find the vertical, horizontal, and oblique asymptotes, if any, for the following rational function. …
  4. college algebra

    Given the following rational function, find: A. horizontal asymptotes B. vertical asymptote(s), if any C. oblique asymptote(s), if any f(x)=x^2-x-2/2x^2-x-21
  5. college algebra

    Given the following rational function, find a. the horizontal asymptote(s), b. the vertical asymptote(s), if any, and c. the oblique asymptote(s), if any. f(x)=(x^2-x-2)/(2x^2-x-10)
  6. College Algrbra

    Given the following rational function, f(x)=x^2-x-2/ax^2-x-21 find (a) the horizontal asymptote(s) (b) the vertical asymptote(s), if any and (c) the oblique aasymptote(s) if any
  7. Given the following rational function

    Given the following rational function, find a) the horizontal asymptote(s), b) the vertical asymptote(s), if any, and c) the oblique asymptote(s), if any. F(x) = x^2-x-2/2x^2-x-2
  8. college algebra

    The following rational function describes blood concentration of a certain drug taken via IV over time: f(x)=x+1/x Find: a.the horizontal or oblique asymptote(s), if any, b.the vertical asymptote(s),if any, c. describe their possible …
  9. algebra II

    The following rational function describes concentration in blood of a certain medicine taken once depending on time, find a. the horizontal or oblique asymptote(s), if any, b. the vertical asymptote(s), if any, c. describe their possible …
  10. calculus

    The following rational function describes concentration in blood of a certain medicine taken once depending on time, find: A.the horizontal asymptote(s) B.the vertical asymptote(s) C. describe their possible meanings Horizontal asymptote …

More Similar Questions