Find the domain of y = x.<\/strong><\/p>\n The graph of y = x is shown to the right. We can see that it is defined for all x-values because the line will continue to infinity. Thus, the domain of y = x is all real numbers.<\/p>\n Find the domain of <\/strong><\/p>\n <\/p>\n <\/p>\n We do not have the graph but there are properties of the square root function that we can use in order to determine the domain. In order to square root a number, it must be greater or equal to 0. This tells us that y only has a value when x is greater or equal to 0. Therefore the domain is x must be greater or equal to 0.<\/p>\n The range of a function is the set of all y-values that have a corresponding x-value. In other terms, it is the set of all “outputs” of a function that have an “input”.<\/p>\n Example<\/span><\/p>\n Find the range of y = x2<\/sup>.<\/strong> The graph y = x2<\/sup> is the standard parabola as shown to the right. We can see that the graph has y-values that continue to positive infinity but have a minimum of 0 at the origin. There are no points that have a y-value less than 0 and so the range is y must be greater or equal to 0.<\/p>\n![\"\"](\"https:\/\/testpreparations.com\/wp-content\/uploads\/sites\/2\/2012\/09\/yx.gif\" "\\"y=x\\"")
<\/a><\/strong><\/p>\n<\/a><\/p>\nRange<\/h5>\n
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