Question

Question was provided via image upload.

Explanation:

Step1: Recall the definition of a function

A function is a relation where each input (x - value) has exactly one output (y - value). We can 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.

Step2: Test each graph

• Top - Left Graph: Pass a vertical line. Each vertical line intersects the graph at most once. So it could be a function.
• Top - Right Graph: If we draw a vertical line, it will intersect the graph at two points. So it fails the vertical line test and is not a function.
• Bottom - Left Graph: Pass a vertical line. Each vertical line intersects the graph at most once. So it could be a function.
• Bottom - Right Graph: Pass a vertical line. Each vertical line intersects the graph at most once. So it could be a function.

Answer:

The Top - Right Graph (the graph in the top right quadrant of the given image) is not a function.