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OpenStudy (anonymous):
list the intervals increasing, decreasing, positive and negative for this graph. y=(x^2)/(x^2-2)-1/2
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OpenStudy (anonymous):
calculus?
OpenStudy (anonymous):
advanced algebra
OpenStudy (anonymous):
wow ok hmm
OpenStudy (anonymous):
first of all, does it really say
\[\large y=\frac{x^2}{(x^2-2)^{-\frac{1}{2}}}\]
OpenStudy (anonymous):
yes thats what its showing on my screen lol
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OpenStudy (anonymous):
we should then rewrite it as
\[y=x^2\sqrt{x^2-2}\]
OpenStudy (anonymous):
okay i gotcha so we rewrite then what?
OpenStudy (anonymous):
the domain of this beast is from \((-\infty,-\sqrt2)\cup (\sqrt2,\infty)\) because you can''t take the square root of a negative number
OpenStudy (anonymous):
on the first interval it is deceasing, on the second it is increasing
odd for an algebra course
OpenStudy (anonymous):
oh and it is always greater than or equal to zero
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OpenStudy (anonymous):
wow thank you so much your the only person on here who has helped me with problems from now and the pass thanks!! you deserve a trophy
OpenStudy (anonymous):
yw, hope it was more or less clear
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