calculus

posted by .

Give a reasonable sketch, on the axes provided, of the graph of the
function x/(x^2-1)^1/2 showing all characteristics. Use the following pieces
to justify your sketch.

a) Domain ?
b) coordinates x and y intercepts ?
c) Symmetry ? is the function odd, even, or neither ?
d) Asymptotes: Note For vertical asymptotes, you must state all, listing the
values, calculating at least two of the limits. For horizontal asymptotes,
you have the choice of calculating them or giving a valid, mathematical
reason for your answer. Make sure to properly label them.
e) Interval(s) where Increasing and Decreasing ?
f) Local Maximum and Minimum Values ?
g) Interval(s) of Concavity and Points of Inflection (POI)?
h)Sketch the graph.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. graph of a polynomial

    Sketch the graph of 1/12(x+2)^2(x-3)^2 and make sure the graph shows all intercepts and exhibits the proper end behavior. I can sketch the graph but how do I do the second part?
  2. Calculous

    the figure shows the graph of F', the derivative of a function f. the domain of the function f is the set of all X such that -3< or equal to x<or equal to 3 a)for what values of x in the domain does f have a relative max and …
  3. Calculus I

    Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. 18. f(x) = 1/x , 1 < x < 3 I can graph it just fine, but for my answer I got that the function has none of the …
  4. Calculus

    Sketch the graph of f(x)=x^2/x-2. Identify the domain, x-intercepts, y intercepts, symmetry, periodicity, asymptotes, increasing and decreasing intervals, local max/min, concavity, inflexion points.
  5. algebra

    Can someone check my answers on exploring conic sections?
  6. algebra

    the graph of a first degree absolute value function has a Y-intercept of 3, x-intercepts of -9 and -3 , and a minimum vlaue of -3 at x=-6. on the axes provided , sketch a graph of this function.
  7. Math2

    Sketch the graph of this quadratic function: f(x)= 3(x-2)^2 -10. Be sure to explain the steps you take. **I don't need help with the graph part but I need to find the x and y intercepts, the equation of the axis of symmetry and the …
  8. Math

    Sketch the graph of the following polynomial. (Label all x intercepts, y intercepts, maxima, minima, and identify the range and domain.) f(x)= 1/2( x^2-2x+15)
  9. Math

    . The volume of a rectangular box is given by the expression V = (120 − 6w)w2, where w is measured in inches. a. What is a reasonable domain for the function in this situation?
  10. Algebra 1 - Help!?

    Two big questions that are driving me mad. 1) Given the following linear function sketch the graph of the function and find the domain and range. f(x) = 2/7x - 2 2) Given the following linear function sketch the graph of the function …

More Similar Questions