How would you prove algebraically that the following function is one to one? f(x)= (x+3)^2 , x>= -3?
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A function--namely a parabola (concave up). To "evaluate" this function you would need an x value and would find the resulting y value. To "solve" this function, you would probably be given a y value and asked to find the corresponding x value(s).
It would help very much if the "following equations" actually DID follow!
x=0
The domain of a function is the set of it's possible x values that will make the function work and output y values. In this case, it would be all the real numbers.