Find the Range x^2+(y-5)^2=30

$x^{2} + {(y - 5)}^{2} = 30$

Step 1

The range is the set of all valid $y$ values. Use the graph to find the range.

Interval Notation:

$[5 - \sqrt{30}, 5 + \sqrt{30}]$

Set-Builder Notation:

${y | 5 - \sqrt{30} \leq y \leq 5 + \sqrt{30}}$

Step 2