Answer
The provided equation is $3{{x}^{2}}+y=14$ defines y as a function of x.
Work Step by Step
Let us the consider the following equation: $3{{x}^{2}}+y=14$
Isolate y on the left in the above equation,
$y=-3{{x}^{2}}+14$
The above equation will provide a unique value of y for a different value of x.
Again, apply the vertical line test according to which if any vertical line (parallel to the x-axis) intersects the provided graph into two different points then it is not a function.
Since the graph of the equation will be a downward facing parabola, thus no vertical line will intersect the graph in more than one point.
Thus, the above equation defines y as a function of x.
