SOLUTION: I'm trying to graph f(x)=x/x^2+1 I need to include all the intercepts and asymptotes. I worked out that the horizontal asymptote is y=0 and that the y-intercept is (0,0). I'm ha

Question 241541: I'm trying to graph f(x)=x/x^2+1
I need to include all the intercepts and asymptotes. I worked out that the horizontal asymptote is y=0 and that the y-intercept is (0,0). I'm having problems with the rest, though.
Answer by jsmallt9(3759) (Show Source): You can put this solution on YOUR website!
You've done very well so far. You've found all there is to find except

since f(-x) = -f(x), the graph will be symmetric about the origin.
if you know Calculus, you can find
- local maximum and minimum points, if any
- where the graph is increasing and where it is decreasing
by finding and using the first and second derivatives.
you can build a table of values and plot the points.

Here's a graph:

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