Questions: For each graph below, state whether it represents a function.

Transcript text: For each graph below, state whether it represents a function.

Solution

Solution Steps

Step 1: Understanding the Definition of a Function

A function is a relation between a set of inputs (domain) and a set of permissible outputs (range) with the property that each input is related to exactly one output. In graphical terms, this means that no vertical line can intersect the graph more than once.

Step 2: Analyzing the Graph

To determine whether a graph represents a function, we can use the Vertical Line Test. If any vertical line intersects the graph more than once, then the graph does not represent a function. If every vertical line intersects the graph at most once, then the graph represents a function.

Step 3: Applying the Vertical Line Test

Since the question does not provide specific graphs, I will assume a general approach:

If the graph passes the Vertical Line Test, it represents a function.
If it fails the Vertical Line Test, it does not represent a function.

Final Answer

To determine whether a graph represents a function, apply the Vertical Line Test. If every vertical line intersects the graph at most once, the graph represents a function. Otherwise, it does not.

\\(\boxed{\text{Apply the Vertical Line Test to determine if the graph represents a function.}}\\)

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