Answer
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Step 1:I'll solve this problem step by step, focusing on identifying which graph represents a function.
Step 2:: Recall the definition of a function
A function is a relation where each input (x-value) corresponds to exactly one output (y-value). Graphically, this means that a vertical line drawn anywhere on the graph should intersect the graph at most once.
Step 3:: Apply the vertical line test
I'll mentally draw vertical lines through each graph to check how many times they intersect the curve.
Step 4:: Analyze Graph A
- If I draw vertical lines through Graph A, some lines will intersect the curve twice. - This means Graph A is NOT a function.
Step 5:: Analyze Graph B
- Vertical lines drawn through Graph B will intersect the curve only once. - This means Graph B IS a function.
Step 6:: Analyze Graph C
- Vertical lines drawn through Graph C will intersect the curve multiple times. - This means Graph C is NOT a function.
Final Answer
The key concept here is the vertical line test: if any vertical line intersects a graph more than once, the graph does not represent a function.
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