Which of the following statements is true regarding the graph below?

A.The graph is a function because it passes the vertical line test.
B.The graph is not a function because it is undefined at x = 0.
C.The graph is not a function because it fails the vertical line test at x = 0.
D.The graph is not a function because it fails the horizontal line test at y = 0.

Question

Which of the following statements is true regarding the graph below? 

A.The graph is a function because it passes the vertical line test.
B.The graph is not a function because it is undefined at x = 0.
C.The graph is not a function because it fails the vertical line test at x = 0.
D.The graph is not a function because it fails the horizontal line test at y = 0.

anonymous · Answer

attachment

anonymous · Answer

Remember what constitutes something not being a function. Is there any point where you can put a vertical line through it and get more than one solution?

anonymous · Answer

no?

campbell_st · Answer

as x = 0 is undefined the curve fails the vertical line test... so its only a relationship...

anonymous · Answer

I have to disagree and say that this is indeed a function, with a domain restriction at x = 0. This is -1/x

campbell_st · Answer

but the domain restriction doesn't appear in the question... unless I've missed something

anonymous · Answer

Given the generality of the question and the level of course I would imagine this to be, I'm imagining that this could really go either way ;]