Question

1. which graph represents a function?
2. graph 1
3. graph 2
4. graph 3
5. graph 4

Explanation:

To determine if a graph represents a function, use the Vertical Line Test: any vertical line drawn on the graph should intersect the graph at most once.

1. Graph 1: A vertical line to the right of the y-axis intersects the graph twice, so it fails the test.
2. Graph 2: Any vertical line intersects the graph at most once, so it passes the test.
3. Graph 3: A vertical line aligned with the right vertical segment intersects the graph infinitely many times, so it fails the test.
4. Graph 4: A vertical line aligned with the horizontal segments intersects the graph twice, so it fails the test.

Answer:

1. The graph with three lines meeting at the origin, extending to the left, lower-left, and upper-left