absolutely puzzled by absolute value

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mnmathkid

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Joined
Mar 30, 2006
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3
I looked around for help but 'still strugglin' with this one:

|x^2| + |y| = 1

everything I've seen doesn't have the square and that is throwing me off.
 
Have you noticed that x^2 >= 0, so that |x^2| = x^2?
 
tkhunny said:
Have you noticed that x^2 >= 0, so that |x^2| = x^2?
Click to expand...

Oh! that looks right.... so I think you're saying that the ||'s arent needed and the problem is just like x^2 + |y| = 1 or, if I rewrite it, then a parabola like:

y = 1 - x^2 AND y = x^2 - 1

and I know how to figure out the domains with my TI so whoa, whoa!

Thanks for your tip.
 
Or
|y| = 1-x² is the same as
y=|1-x²|
They are both based on y=1-x² and it doesn't matter which side you do it to.
 
Gene said:
Or
|y| = 1-x² is the same as
y=|1-x²|
They are both based on y=1-x² and it doesn't matter which side you do it to.
Click to expand...

thanks for that interesting twist! very cool.
 
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