Question

determine whether the following graph represents a function.
answer
function
not a function

Explanation:

Step1: Recall the vertical line test

To determine if a graph represents a function, we use the vertical line test: if any vertical line drawn through the graph intersects the graph at more than one point, it is not a function. If every vertical line intersects the graph at most once, it is a function.

Step2: Apply the vertical line test to the given graph

For the provided graph, when we imagine drawing vertical lines (lines parallel to the \( y \)-axis) at any \( x \)-value, each vertical line will intersect the graph at exactly one point. This is because the graph appears to be a curve where for each input \( x \), there is only one output \( y \).

Answer:

Function