Question

determine whether the following graph represents a function.
answer
function

Explanation:

Step1: Recall the vertical line test

A graph represents a function if and only if no vertical line intersects the graph at more than one point.

Step2: Apply the vertical line test to the given graph

For any vertical line \( x = a \) (where \( a \) is a real number), we check how many times it intersects the graph. Looking at the given graph, for every \( x \)-value, there is at most one \( y \)-value. When we draw a vertical line anywhere on the coordinate plane, it will intersect the graph at most once.

Answer:

Function