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ritwik06
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Homework Statement
State if the following is a function. If yes, write domain and range.
A. {(x,y): y=(x^1/2) ; x,y are real numbers and x>0}
B. {(x,y): y^2=x ; x is real numbers and x>0}
Homework Equations
A relation is called function if each element of the domain necessarily has a unique (one and only one) image in th range.
The Attempt at a Solution
My book says, A is a function.
Domain= Set of positive real numbers
Range= R+ - {0}
But I think that A is not a function as for say x=25, y=+5 or -5. 2 images, isn't it? Then how can it be a function.
As about B my book and me both have the same opinion. B is not a function.
Pleas help me to figure out if I am right!