Determine whether the relation defines y as a function of x.
-$( x + 6 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 25$
A) Function
B) Not a function

Question

Quizplus · Accepted Answer

This equation represents a circle with a radius of 5 centered at (-6, 7) on the coordinate plane. Since for some values of x there are two corresponding values of y (one above and one below the center of the circle), it does not pass the vertical line test and therefore does not define y as a function of x.

Determine Whether the Relation Defines Y as a Function of X