Question

The 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 don't have the graph image, so I can't pick the right option yet. Please upload the graph or describe which y-value(s) the graph already has at x = 0, 2, 3, and 9.

How to decide yourself:
- A function cannot have two different y-values for the same x. So for a candidate point (a, b):
- If the graph already has a point (or any point of the curve) with x = a:
- The candidate preserves the function only if the graph’s y at x = a is exactly b.
- If the graph has no point with x = a, adding (a, b) is always fine.

If you upload the picture or tell me the y-values at x = 0, 2, 3, and 9 from the graph I’ll pick the correct choice.