Domain And Range Examples Circle

The range of a circle is the y coordinate of the center of the circle plus and minus the radius of the circle.

Domain and range examples circle. It depends on two things the radius and the center. Circles after all are finite and thus have finite domains and ranges. In this article we will learn what a domain and range of a function mean and how to calculate the two quantities.

Y 4x 8 domain. It is easy to remember which coordinates domain and range refer to because x is alphabetically before y and domain is. Michael j s answer is a good graphical demonstration of how the symmetry of a circle yields domains and ranges of equal span.

Here s how you can test the circles and semi circle functions. X 2 y 2 25 centre 0 0 r 5. The domain of a circle is the x coordinate of the center of the circle plus and minus the radius of the circle.

The domain is x l h r x h r the range is y l k r y k r for example if the center is 2 3 and the radius is 5 then the domain is from 3 to. Assume the center is h k and the radius is r. Thus the domain of the function is left 2 3 right also the.

All real y this is a linear function. X 5 x 5 range. We observe that the graph corresponds to a continuous set of input values from 2 to 3.

Before getting into the topic of domain and range let s briefly describe what a function is. All real x range. The domain and range of any real function is within the set of real numbers but we should narrow it down a bit.