Question

1. is there any value(s) of the domain of x² + y² = 8 that passes the vertical line test? if so, name the value(s) and state whether or not the existence of this value makes this relation a function. you can use desmos to help you explore this idea, if needed.

Explanation:

Answer:

No value of the domain of \(x^{2}+y^{2}=8\) passes the vertical - line test. The equation \(x^{2}+y^{2}=8\) represents a circle centered at the origin with radius \(r = \sqrt{8}\). For most \(x\) - values in the domain \([-\sqrt{8},\sqrt{8}]\), there are two \(y\) - values. So, this relation is not a function.