Find the Domain and Range x^2+y^2=49

Problem

x2+y2=49

Solution

1. Identify the equation as a circle centered at the origin (0,0) by comparing it to the standard form x2+y2=r2

2. Determine the radius r by taking the square root of the constant term.

r=√(,49)

r=7

3. Find the domain by identifying all possible xvalues for a circle centered at (0,0) with radius 7 which extends from −r to r

−7≤x≤7

4. Find the range by identifying all possible yvalues for a circle centered at (0,0) with radius 7 which extends from −r to r

−7≤y≤7

Final Answer

Domain: *[−7,7], Range: *[−7,7]

Want more problems? Check here!