Question

determine whether the following graph represents a function.
answer
one-to-one function
function, but not one-to-one
not a function

Explanation:

Step1: Apply Vertical Line Test

To determine if a graph is a function, we use the vertical line test: if any vertical line intersects the graph at more than one point, it is not a function. For this graph, we check vertical lines (parallel to the y - axis). Looking at the graph, we can see that there are x - values for which a vertical line would intersect the graph at two points (e.g., around the middle region).

Step2: Conclude the Result

Since a vertical line intersects the graph at more than one point, the graph does not represent a function.

Answer:

Not a Function