Answer:
C. No, the graph fails the vertical line test
Explanation:
Functions describe the relationship between the dependent variable, y, and the independent variable, x.
Functions
For a graph to be a function, x-values cannot repeat. This means that one x-value cannot have more than one y-value.
However, functions can have repeating y-values. So, y-values can have more than one x-value; as seen in quadratic functions. This means that answer B cannot be correct.
Vertical Line Test
The vertical line test is a way to determine if a graph is a function. A graph passes the vertical line test if you can draw a vertical line at every point on the coordinate plane and not have it intersect with the graph more than once.
On the graph in the question, a vertical line would intersect with the graph twice at the x-values greater than -1. Since the graph fails the vertical line test, it is not a function.