Refer to the graph below. If a vertical line drawn at intersects the graph at two points, the graph a function.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to apply the Vertical Line Test to a specific vertical line. The key concept is that if a vertical line intersects the graph at more than one point, the graph does not represent a function.
Key Concept Explanation
The Vertical Line Test is a graphical method used to determine whether a given graph represents a function. A function must have each input (x-value) corresponding to exactly one output (y-value). If a vertical line intersects the graph at more than one point, it means there is an x-value that maps to more than one y-value, which violates the definition of a function.
Step-by-step Solution
1. Identify the graph to be tested.
2. Draw a vertical line at
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