Question

e graph shows y as a function of x. Suppose a point is added to this graph. Which choice gives a point that preserves the function?
Responses
A (3, 5)(3, 5)
B (0, 9)(0, 9)
C (9, −1)(9, −1)
D (2, −4)

Answer 1

I can't see the graph you mention. To preserve the relation as a function, any added point must not give an x-value that already appears in the graph with a different y-value. In other words:

- If the graph already contains a point with x = a, you may only add (a, y) if y is the same as the existing y (otherwise the vertical-line test fails).
- If the graph has no point with x = a, you may add any (a, y).

If you can upload the graph image or list the x-values (and any existing y-values) shown there, I will tell you which of A–D is correct.