What Is The Domain And Range Of A Circle Graph

The range is all the values of the graph from down to up.

3 1 0 2. That value is the diameter of the circle. 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. It is very easy to find the domain and range of a cluster of points.

The domain is all x values or inputs of a function and the range is all y values or outputs of a function. The range of a circle is the y coordinate of the center of the circle plus and minus the radius of the circle. 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 latex x latex axis. The range is the set of possible output values which are shown on the y axis.

The graph of the curve y sin x shows the range to be betweeen 1 and 1. Both the domain and the range are the same value. 1 2 3 4 5 1 2 3 4 5 6 7 1 1 x y. With these ideas and definition we will now solve examples where the whole domain of a given graph is found.

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1 y 1. 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. The domain will include all of the x values and the range will be all of the y values it is helpful to write down the coordinates of all the points. For example if the circle was displaced to the coordinate 4 5 and the diameter is 4 the domain and range would be of different intervals than if it weren t displaced at all.

It is easy to remember which coordinates domain and range refer to because x is alphabetically before y and domain is alphabetically before range. The domain and the range are intervals when the graph is a line it doesn t have to be a straight line shape doesn t matter. It just depends on where the circle is displaced on the graph. There are no points on the graph at x 1 open circle on the graph 0 5 1 1 5 2 open circle.

The range is the set of possible output values which are shown on the latex y latex axis. These values and more other values of x are not included in the domain. Follow the format it is customary not to repeat numbers and to put numbers in numerical order. Displaystyle 1 le y le 1 1 y 1.