Question

Does this graph represent a function? Why or why not?
Responses
A No, it is not a function because it has two open circles.No, it is not a function because it has two open circles.
B Yes, it is a function because it passes the vertical line test.Yes, it is a function because it passes the vertical line test.
C Yes, it is a function because it passes the horizontal line test.Yes, it is a function because it passes the horizontal line test.
D No, it is not a function because it does not pass the horizontal line test.No, it is not a function because it does not pass the horizontal line test.
E No, it is not a function because it contains a quadratic and linear relation.No, it is not a function because it contains a quadratic and linear relation.

Answer 1

B. Yes — it represents a function because it passes the vertical line test.
A graph is a function if every vertical line intersects it at most once; open circles or the presence of different curve types do not by themselves make it non‑functional, and the horizontal line test checks one‑to‑one, not whether something is a function.