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Calculus/I need help desperately!!

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Expert: - 1/12/2008


Question
set=...y^2=x....not a function

Give three ways of removing parts of the set, y^2=x, so that the remainder is the graph of a function, where each of these functions has domain on the closed interval [0,).

For each of the functions, give a formula for the function. For each of the functions give its range and for each determine whether or not the function is increasing, decreasing, or one-to-one.

Answer
In most cases, y=ax^2 + bx + c, but here, the x and y values have been reversed.  It still follow that there must be one and only one y value for every x.  Converting this to the form of a proper equation, we don't get a quadratice.  We get y = x^0.5.  I see two function for y are plus or minus root x, but don't see the third right now.  Also, is a cute way of expressing infinity I hadn't thought of before.  Now that I think about it, you could also use  , no?

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