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## anonymous 4 years ago find the asymptotes for this y=xsqrt(9-x^2)

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1. anonymous

$y=x \sqrt{9-x^2}$

2. anonymous

I think there is an asymptote at x=0 and x=3 because that would make y=0

3. anonymous

one at x=-3 too, sorry

4. anonymous

is this a horizontal or vertical

5. anonymous

they are x coordinates, so they are verticle

6. anonymous

x=0, x=3,x=-3 is also the x intercept right? i graph this on wolfram and it looks weird

7. anonymous

No, I think what your looking at is the imaginary part of the graph beyond the asymptototes

8. anonymous
9. anonymous

heres the graph..im suppose to look at the blue right? sorry im not understanding this can you explain? please? i see the theres a local maxima and local minima on the blue also

10. anonymous

you need to find the roots... x values in the axis that make the equation true in other words solve for x

11. anonymous

sorry but your are looking for asymptotes... this do not have asymptotes

12. anonymous

so no asymptotes? theres an inflection point at x = 0 right?

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