determine if the following is a function: 4x^3+2y^2=3

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determine if the following is a function: 4x^3+2y^2=3

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Does it pass the vertical line test?
not sure how to graph it
With a calculator perhaps... http://www.wolframalpha.com/input/?t=crmtb01&f=ob&i=plot%204x%5E3%2B2y%5E2%3D3

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Other answers:

no calculators are allowed on the test, need to be able to do it without one
then solve for y and make a table of values and plot it.
do you know how to do it with inverse functions? just in case i have to do it that way too
Do what with inverse functions?
find an inverse function and plug it in or something?
I don't know what you're asking.. plug what in?
the inverse function into the regular equation
i think i may be mixing some things up.

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