I have this problem and I really need someone else to look at it and see if the answers are correct(adsbygoogle = window.adsbygoogle || []).push({});

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.

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# Homework Help: Can someone verify this

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