Domain And Range Of A Circle Function

Y 5 y 5 ii x 2 2 y 3 2 25 5 2 centre 2 3 r 5.

Domain and range of a circle function. X 5 x 5 range. The domain of a function is the collection of independent variables of x and the range is the collection of dependent variables of y. Circles after all are finite and thus have finite domains and ranges.

It is easy to remember which coordinates domain and range refer to because x is alphabetically before y and domain is. State the domain and range for each of the following functions and sketch its graph. The cosine and sine are the abscissa and ordinate of a point that moves around the unit circle and they vary between 1 and 1.

Assume the center is h k and the radius is r. Therefore the range of each of these functions is a set of real numbers z such that 1 z 1 see figure 2. Any number should work and will give you a final answer between 1 and 1 from the calculator experiment and from observing the curve we can see the range is y betweeen 1 and 1 we could write this as 1 y 1.

X 2 y 2 25 centre 0 0 r 5. The domain of y sin x is all values of x since there are no restrictions on the values for x. 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.

To find the domain of a function just plug the x values into the quadratic formula to get the y output. Figure 2 range of values of trig functions. The range is more restricted.

Here s how you can test the circles and semi circle functions. The domain is the set of all values that can be input into a function and the respective output values are the. It depends on two things the radius and the center.