Determine whether the equation defines \( y \) as a function of \( x \). Does the equation define \( y \) as a function of \( x \) ? \( \begin{array}{l}\text { Yes } \\ \text { No }\end{array} \)

To determine if the equation defines \( y \) as a function of \( x \), we must check whether every value of \( x \) is associated with exactly one value of \( y \). If there are values of \( x \) that correspond to multiple values of \( y \), then it does not define a function. For example, the equation \( y^2 = x \) does not define \( y \) as a function of \( x \) because for a positive value of \( x \) (e.g., \( x = 4 \)), there are two values of \( y \) (namely, \( y = 2 \) and \( y = -2 \)). So, depending on the specific equation provided, you would assess it in the same way. Thus, without seeing the specific equation, it's hard to give a definite "Yes" or "No." However, if every \( x \) leads to one and only one \( y \), then it’s a function! If not, it’s a "No." In conclusion, if every \( x \) has a unique \( y \), then Yes! If not, then No!