Question

determine whether the equation defines y as a function of x.
y = \frac{1}{x}
does the equation define y as a function of x?
yes
no

Explanation:

Step1: Recall function definition

For a relation $y = f(x)$, for each input $x$ (in the domain), there must be exactly one output $y$.

Step2: Analyze given equation

For the equation $y=\frac{1}{x}$, for every non - zero real number $x$ (domain is $x
eq0$), there is exactly one value of $y$ obtained by taking the reciprocal of $x$.

Answer:

A. Yes