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calc question!
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so domain.. all real numbers?
heeeeelp
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.
x is less than OR equal to plus or minus sqrt2. It's okay to have the sqrt of 0.
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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.
@jam333 True, true.
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