Domain And Range Of A Graph All Real Numbers

Thus the range of a square root function is the set of all non negative real numbers.

Domain and range of a graph all real numbers. Keep in mind that if the graph continues beyond the portion of the graph we can see the domain and range may be greater than the visible values. For the examples that follow try to figure out the domain and range of the graphs before you look at the answer. Since the square root must always be positive or 0 0 x 5 0 x 5 0.

That means x 5 0 x 5 0 so x 5 x 5. The two domain and range are not necessarily the same. That means 2 x 5 2 2 x 5 2.

The domain is all real numbers x where x 5 x 5 and the range is all real numbers f x f x such that f x 2 f x 2. The range is the set of possible output values which are shown on the y axis. When using set notation inequality symbols such as are used to describe the domain and range.

Unless a linear function is a constant such as f x 2 f x 2 there is no restriction on the range. The same applies to the vertical extent of the graph so the domain and range include all real numbers. Like f x x 2 or y x 2 means that f x or y can never be less than 0.

Because the domain refers to the set of possible input values the domain of a graph consists of all the input values shown on the x axis. First do you know what a real number is. For the quadratic function f x x2 f x x 2 the domain is all real numbers since the horizontal extent of the graph is the whole real number line.

Pick a line y x 2. The domain and range is all real numbers for both domain and range. For the cubic function f x x 3 the domain is all real numbers because the horizontal extent of the graph is the whole real number line.