# How would you find the domain and range of a circle on a graph whose points on the y axis are 5 and -5, and whose x axis coordinates are 8 and -8?

##### 1 Answer

The curve you describe is not a circle, it could be an ellipse. Here is the curve I think you meant:

graph{x^2/64+y^2/25=1 [-20.27, 20.28, -10.14, 10.13]}

The domain is the set of all numbers for which there is a point on the curve with that

The range is the set of all numbers for which there is a point on the curve with that

It might be helpful to imagine squashing the graph down onto the

For this graph, there are clearly no points with

in fact the least number that appears as a,

By similar reasoning, the range is

(Be careful to read the

**Here's another example:**

Find the domain and range of the equation whose graph is:

graph{x^2/100+y^2/4=1 [-14.24, 14.25, -6.21, 8.03]}

I hope you got Domain =

Range =

**One more example:**

Find the domain and range of the equation whose graph is below.

Remember that the domain is all the

graph{(x+3)^2/25+(y-2)^2/4=1 [-12.515, 9.995, -4.18, 7.07]}

It looks like we use all the

So the domain is

Now what about the range?

.

.

I hope you got Range is