What is the domain and range of y=x^2y=x2?

1 Answer
Jim H
Mar 26, 2015

This is an equation (and a function) whose graph we should know:

graph{x^2 [-20.19, 20.36, -2.03, 18.25]}

The domain is the set of all allowed xx values. Although it is not 100% certain from the graph, it is clear from the equation, that for any number you put in for xx you will get one and only one value for yy. The domain is all real numbers . (The interval (-oo, oo)(−∞,∞))

The range is the set of all yy value the graph actually includes. Looking at the graph (and thinking about x^2x2, it becomes clear that yy will never have a negative value.
It is not 100% certain from the graph, but every number that is NOT negative will be used as a yy value. The range is [0, oo)[0,∞)

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