Answer
The curve is not the graph of a function of x because there is more than one value of x for each value of y.
Work Step by Step
Looking at the graph, we can see that when x=-1, y is equal to -1.75, 0.75 and 1.25. If one value of x gives several values of y, it is not a function. Hence, the curve of the graph does not represent a function of x.