Questions: Determine if the following relation defines a function. Justify your answer.

Determine if the following relation defines a function. Justify your answer.
Transcript text: Determine if the following relation defines a function. Justify your answer.
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Solution

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Solution Steps

Step 1: Understand the Problem

The problem asks us to determine if the given relation (represented by the graph) defines a function. A function is defined as a relation where each input (x-value) has exactly one output (y-value).

Step 2: Apply the Vertical Line Test

To determine if the relation is a function, we can use the vertical line test. This test states that if any vertical line intersects the graph at more than one point, the relation is not a function.

Step 3: Analyze the Graph

Examine the graph and imagine drawing vertical lines through different x-values. Check if any vertical line intersects the graph at more than one point.

Final Answer

The given relation does define a function. Each vertical line intersects the graph at exactly one point, satisfying the vertical line test.

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