Domain And Range Of A Circle

Square root of cos x.

Domain and range of a circle. Since the circle is a unit circle for any angle both sine and cosine are within the range of minus one to plus one. The range of a circle is the y coordinate of the center of the circle plus and minus the radius of the circle. It is easy to remember which coordinates domain and range refer to because x is alphabetically before y and domain is.

Assume the center is h k and the radius is r. The points of the circle belong to set r. To graph a circle visit the circle graphing calculator choose the implicit option.

The domain of a circle is the x coordinate of the center of the circle plus and minus the radius of the circle. To avoid ambiguous queries make sure to use parentheses where necessary. This calculator will find either the equation of the circle from the given parameters or the center radius diameter area circumference perimeter eccentricity linear eccentricity x intercepts y intercepts domain and range of the entered circle.

Find the domain of 1 e 1 x 1 function domain. The domain and range of a circle are constraint by the length of its radius and the. Domain and range tips for entering queries.

Therefore the range of each of these functions is a set of real numbers z such that 1 z 1 see figure 2. Michael j s answer is a good graphical demonstration of how the symmetry of a circle yields domains and ranges of equal span. It depends on two things the radius and the center.

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. Here are some examples illustrating how to ask for the domain and range. Enter your queries using plain english.