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Homework Help: Can someone verify this

  1. Oct 27, 2006 #1
    I have this problem and I really need someone else to look at it and see if the answers are correct

    problem: use the graphing strategy to sketch the graph of y=(4x)/(x^2+1). check for domain values, intercepts, critical values, interval where the function is increasing and where it is decreasing. Then graph it. please use sign charts.

    domain: (-infinity, +infinity)

    x intercept: is where y = 0 : (0, 0)
    y intercept: is where x = 0 : (0, 0)

    critical value
    y' = (4-4x^2)/(x^2+1)^2 = 0
    solving for x gives us x = +- 1
    so the critical values are x = 1 and x = -1

    using the sign charts
    interval where function is increasing: (-1, 1)
    interval where function is decreasing: (-infinity, -1) & (1, infinity)

    Can someone verify these answers please.
  2. jcsd
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