Question

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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: Draw a vertical line. It will intersect the parabola at only one point. So it passes the vertical line test.
• Top - right graph: The vertical dashed line (and any vertical line) intersects the graph at only one point. It passes the vertical line test.
• Bottom - left graph: A vertical line will intersect this curve at only one point. It passes the vertical line test.
• Bottom - right graph (circle): A vertical line (e.g., the y - axis) intersects the circle at two points. It fails the vertical line test.

Answer:

The graph that does not represent a function is the bottom - right graph (the circle).