This relation is a function, because you are assigning one y-value to each x-value. In other words, you can perform the vertical line test: you can see that every vertical line crosses the graph at most once.
First off, the function above is incomplete, however, by the looks of it, likely a quadratic, anyway, the values "x" can safely take on would be all real numbers, thus -∞ < x < +∞
The function is the Sine Curve
y = sine (x)
SOLUTION
Given the question on the question tab;

The trace on the graph is given below;

Final answer:
The volume of the box when x=1 is 15 cubic inches.
The answer is 38,400
The scale is 1:40 so the side that is 4 in becomes 160 and the side that is 6 in becomes 240
Multiply 160 and 240 and that is the area of the room
Hope this helps