Use the Intermediate Value Theorem to determine if the polynomial function has a real zero between a and b. SHOW WORK NEATLY for full credit. f(x)=2x^3+6x^2-3 ; a=-2 , b=-1

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Use the Intermediate Value Theorem to determine if the polynomial function has a real zero between a and b. SHOW WORK NEATLY for full credit. f(x)=2x^3+6x^2-3 ; a=-2 , b=-1

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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Actually there is no zero for f(x) between -2 and -1 here
how do you solve it
usually the intermediate value theorem is used to show that a zero exist but we can't use it to show that it doesn't exist. In this case I just suspicious because I couldn't show that it has a zero using the intermediate value theorem. So I graph it and see that there is no zero between -2 and -1.

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