Find the Range x^2+y^2-13x+11y-55/2=0

$x^{2} + y^{2} - 13 x + 11 y - \frac{55}{2} = 0$

Step 1

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

Interval Notation:

$[- \frac{31}{2}, \frac{9}{2}]$

Set-Builder Notation:

${y | - \frac{31}{2} \leq y \leq \frac{9}{2}}$

Step 2