math-please help,need quickly

posted by anonymous

find the slant asymptote of the graphof the rational function.

1.f(x)=x^2-x-2/x-7
y=?

2. determine the symmetry of the graph of f.
a. the graph has y-axis symmetry f(-x)=f(x)
b. the graph has orgin symmetry f(-x)= -f(x)
c. the graph has both y-axs and orgin symmetry
d. the graph has neither y-axis nor orgin symmetry

3. find the y-intercepts
4. find the x-intercepts
5. find the vertical intercepts
6. find the horizontal asymptotes

please show work

  1. Steve

    since f(x) = x + 6 + 40/(x-7)

    f(x) = x+6 plus an amount that gets small as x gets large.

    So, the slant asymptote is y=x+6

    go to wolframalpha.com and type in

    (x^2-x-2)/(x-7)

    and it will show the graph, making the other answers easy to decide.

Respond to this Question

First Name

Your Answer

Similar Questions

  1. math help,algebra

    Okay this is what i have to do but i think i am doing something wrong. directions are: Identify the axis of symmetry, create a suitable table of values, and sketch the graph (including the axis of symmetry). The problem is: y = -x^2+6x-2 …
  2. Alegrba

    Please check my answers. Also, can I see some graphs of y-axis symmetry, orgin of symmetry, or neither?
  3. Algebra-Polynomails

    Please explain to me orgin of symmetry, y-axis semmetry, or if its neither. 1. Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither. f(x) = 4x^2 - x^3 -this is how I did it: f(x)=(-4x^2)-x^3,I …
  4. Precalculus

    find any intercepts of the graph of the given equation. determine whether the graph of the equation possesses symmetry with respect to the x-axis, y-axis, or orgin y=x^2-2x-2
  5. Precalculus

    find any intercepts of the graph of the given equation. determine whether the graph of the equation possesses symmetry with respect to the x-axis, y-axis, or orgin y=x^2-2x-2
  6. Precalculus

    find any intercepts of the graph of the given equation. determine whether the graph of the equation possesses symmetry with respect to the x-axis, y-axis, or orgin |x|+|y|=4
  7. symmetry help

    find any intercepts of the graph of the given equation. determine whether the graph of the equation possesses symmetry with respect to the x-axis, y-axis, or orgin |x|+|y|=4
  8. College Algebra

    1.Answer the following for the given quadratic function. f(x) = -2x^2 - 8x - 13 (a) does the graph of f open up or down?
  9. pre-cal

    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=?
  10. 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 …

More Similar Questions