Question

When is \[y\] given as an explicit function of \[x\]?

Options

• When the equation contains no \[x\].

• When the relation must be written only as \[f(x,y)=0\].

• When \[y\] is treated as a constant with respect to \[x\].

• When a relation between \[x\] and \[y\] can be easily solved for \[y\] and written as \[y=f(x)\].

Answer 1

An explicit function gives \[y\] directly in terms of \[x\]. Its standard form is \[y=f(x)\], after solving the relation for \[y\].