Answer
The answer is below.
Work Step by Step
With an explicit definition, the function is only written in terms of one variable. For example, $f(x) = x^2$ is only written in terms of $x$. Instead, an implicit definition results in both the input and output variables being present in an equation. For example, $x^2+y^2 = 1$ has both $x$ and $y$ appear in the equation to denote a circle. Both implicit and explicit definitions define functions and can define equal functions; the difference is a matter of notation and what variables are present in the definition of the function.