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Mathematics 23 Online
OpenStudy (anonymous):

calc question!

OpenStudy (anonymous):

please help! http://vvcap.net/db/Ek87NWVnJ9NWQB6yNbJZ.htp

OpenStudy (anonymous):

so domain.. all real numbers?

OpenStudy (anonymous):

heeeeelp

OpenStudy (jonnyvonny):

Its not; due to the square root; you cannot find the square root of a negative number.\[2-x^2>0\rightarrow-x^2>-2\rightarrow x^2<2\rightarrow x< \pm \sqrt{2}\] The reason why we don't care about the x on the outside, is because its not RESTRICTING us domain speaking, the square root is, however.

OpenStudy (anonymous):

x is less than OR equal to plus or minus sqrt2. It's okay to have the sqrt of 0.

OpenStudy (anonymous):

Using calculus means they want you to take the derivative. The function will be decreasing where the derivative is negative. Use the 2nd derivative test and I think it makes the question easier.

OpenStudy (jonnyvonny):

@jam333 True, true.

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