Questions: Practice for Class Time left 1:44:45 Provide an appropriate response. Which one of the following is the graph of a function? Select one:

Practice for Class Time left 1:44:45 Provide an appropriate response. Which one of the following is the graph of a function? Select one:
Transcript text: Practice for Class Time left 1:44:45 Provide an appropriate response. Which one of the following is the graph of a function? Select one:
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Solution

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Solution Steps

Step 1: Understand the Problem

The problem asks to identify which graph represents a function. There are two options provided: a and b.

Step 2: Recall the Definition of a Function

A function is a relation where each input (x-value) has exactly one output (y-value). This can be tested using the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Step 3: Apply the Vertical Line Test
  • For option a: A vertical line intersects the graph at more than one point in some places.
  • For option b: A vertical line intersects the graph at exactly one point everywhere.

Final Answer

Option b is the graph of a function.

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