Question

Which equation describes a relationship such that x = 0 must be excluded from the domain?

A) y = 2x.
B) y = 2 + x.
C) y = 2/x.
D) y = x^2.

Answer 1

Equation C) y = 2/x is the one that requires x = 0 to be excluded from the domain since division by zero is undefined.

Step-by-step explanation:

The equation that describes a relationship such that x = 0 must be excluded from the domain is C) y = 2/x. When the independent variable x is in the denominator, as in this inverse relationship, x cannot be zero because division by zero is undefined. This restriction means that x = 0 must be excluded from the domain to avoid an undefined situation for y.